%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : GRP583-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 16 22:28:29 EDT 2022

% Result   : Unsatisfiable 7.58s 5.19s
% Output   : Proof 13.03s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

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

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

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

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

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

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

tff(4,axiom,
    ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

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

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

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

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

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

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

tff(11,plain,
    ^ [A: $i] :
      refl(
        ( ( identity = double_divide(A,inverse(A)) )
      <=> ( identity = double_divide(A,inverse(A)) ) )),
    inference(bind,[status(th)],]) ).

tff(12,plain,
    ( ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
  <=> ! [A: $i] : ( identity = double_divide(A,inverse(A)) ) ),
    inference(quant_intro,[status(thm)],[11]) ).

tff(13,plain,
    ( ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
  <=> ! [A: $i] : ( identity = double_divide(A,inverse(A)) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(14,axiom,
    ! [A: $i] : ( identity = double_divide(A,inverse(A)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).

tff(15,plain,
    ! [A: $i] : ( identity = double_divide(A,inverse(A)) ),
    inference(modus_ponens,[status(thm)],[14,13]) ).

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

tff(17,plain,
    ! [A: $i] : ( identity = double_divide(A,inverse(A)) ),
    inference(modus_ponens,[status(thm)],[16,12]) ).

tff(18,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(19,plain,
    identity = double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),
    inference(unit_resolution,[status(thm)],[18,17]) ).

tff(20,plain,
    double_divide(identity,identity) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),
    inference(monotonicity,[status(thm)],[19]) ).

tff(21,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity) = double_divide(identity,identity),
    inference(symmetry,[status(thm)],[20]) ).

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

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

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

tff(25,axiom,
    ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

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

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

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

tff(29,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(30,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),
    inference(unit_resolution,[status(thm)],[29,28]) ).

tff(31,plain,
    ^ [A: $i] :
      refl(
        ( ( inverse(A) = double_divide(A,identity) )
      <=> ( inverse(A) = double_divide(A,identity) ) )),
    inference(bind,[status(th)],]) ).

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

tff(33,plain,
    ( ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
  <=> ! [A: $i] : ( inverse(A) = double_divide(A,identity) ) ),
    inference(rewrite,[status(thm)],]) ).

tff(34,axiom,
    ! [A: $i] : ( inverse(A) = double_divide(A,identity) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).

tff(35,plain,
    ! [A: $i] : ( inverse(A) = double_divide(A,identity) ),
    inference(modus_ponens,[status(thm)],[34,33]) ).

tff(36,plain,
    ! [A: $i] : ( inverse(A) = double_divide(A,identity) ),
    inference(skolemize,[status(sab)],[35]) ).

tff(37,plain,
    ! [A: $i] : ( inverse(A) = double_divide(A,identity) ),
    inference(modus_ponens,[status(thm)],[36,32]) ).

tff(38,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(39,plain,
    inverse(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity),
    inference(unit_resolution,[status(thm)],[38,37]) ).

tff(40,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity) = inverse(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),
    inference(symmetry,[status(thm)],[39]) ).

tff(41,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(42,plain,
    identity = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),
    inference(unit_resolution,[status(thm)],[41,17]) ).

tff(43,plain,
    double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))) = identity,
    inference(symmetry,[status(thm)],[42]) ).

tff(44,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[43]) ).

tff(45,plain,
    double_divide(identity,identity) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),identity),
    inference(symmetry,[status(thm)],[44]) ).

tff(46,plain,
    double_divide(identity,identity) = inverse(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),
    inference(transitivity,[status(thm)],[45,40]) ).

tff(47,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),inverse(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(48,plain,
    identity = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),inverse(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(unit_resolution,[status(thm)],[47,17]) ).

tff(49,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),inverse(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = identity,
    inference(symmetry,[status(thm)],[48]) ).

tff(50,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(51,plain,
    identity = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity))),
    inference(unit_resolution,[status(thm)],[50,17]) ).

tff(52,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity))) = identity,
    inference(symmetry,[status(thm)],[51]) ).

tff(53,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(54,plain,
    inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),identity),
    inference(unit_resolution,[status(thm)],[53,37]) ).

tff(55,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),identity) = inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),
    inference(symmetry,[status(thm)],[54]) ).

tff(56,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),identity),
    inference(monotonicity,[status(thm)],[43]) ).

tff(57,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),
    inference(transitivity,[status(thm)],[56,55]) ).

tff(58,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity))),
    inference(monotonicity,[status(thm)],[57]) ).

tff(59,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = identity,
    inference(transitivity,[status(thm)],[58,52]) ).

tff(60,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity) = inverse(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),
    inference(transitivity,[status(thm)],[21,45,40]) ).

tff(61,plain,
    double_divide(identity,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),inverse(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(monotonicity,[status(thm)],[42,60]) ).

tff(62,plain,
    double_divide(identity,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)) = identity,
    inference(transitivity,[status(thm)],[61,49]) ).

tff(63,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[62,59]) ).

tff(64,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = inverse(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),
    inference(transitivity,[status(thm)],[63,45,40]) ).

tff(65,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),inverse(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(monotonicity,[status(thm)],[64]) ).

tff(66,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),
    inference(transitivity,[status(thm)],[65,49,42]) ).

tff(67,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),inverse(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(monotonicity,[status(thm)],[66,46]) ).

tff(68,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),inverse(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[67]) ).

tff(69,plain,
    identity = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[48,68,30,21]) ).

tff(70,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = a3 ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(71,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = a3,
    inference(unit_resolution,[status(thm)],[70,28]) ).

tff(72,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = a3 ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(73,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = a3,
    inference(unit_resolution,[status(thm)],[72,28]) ).

tff(74,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),inverse(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(75,plain,
    identity = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),inverse(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))))),
    inference(unit_resolution,[status(thm)],[74,17]) ).

tff(76,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),inverse(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))))) = identity,
    inference(symmetry,[status(thm)],[75]) ).

tff(77,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(78,plain,
    inverse(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),identity),
    inference(unit_resolution,[status(thm)],[77,37]) ).

tff(79,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),identity) = inverse(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))))),
    inference(symmetry,[status(thm)],[78]) ).

tff(80,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),identity) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[69]) ).

tff(81,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),identity),
    inference(symmetry,[status(thm)],[80]) ).

tff(82,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
    | ( multiply(a3,b3) = double_divide(double_divide(b3,a3),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(83,plain,
    multiply(a3,b3) = double_divide(double_divide(b3,a3),identity),
    inference(unit_resolution,[status(thm)],[82,7]) ).

tff(84,plain,
    double_divide(double_divide(b3,a3),identity) = multiply(a3,b3),
    inference(symmetry,[status(thm)],[83]) ).

tff(85,plain,
    double_divide(c3,double_divide(double_divide(b3,a3),identity)) = double_divide(c3,multiply(a3,b3)),
    inference(monotonicity,[status(thm)],[84]) ).

tff(86,plain,
    double_divide(c3,multiply(a3,b3)) = double_divide(c3,double_divide(double_divide(b3,a3),identity)),
    inference(symmetry,[status(thm)],[85]) ).

tff(87,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(88,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),identity),
    inference(unit_resolution,[status(thm)],[87,28]) ).

tff(89,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(b3,a3)) = double_divide(double_divide(b3,a3),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(90,plain,
    inverse(double_divide(b3,a3)) = double_divide(double_divide(b3,a3),identity),
    inference(unit_resolution,[status(thm)],[89,37]) ).

tff(91,plain,
    double_divide(double_divide(b3,a3),identity) = inverse(double_divide(b3,a3)),
    inference(symmetry,[status(thm)],[90]) ).

tff(92,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(93,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),identity),
    inference(unit_resolution,[status(thm)],[92,28]) ).

tff(94,plain,
    double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[43,48,68,30,21]) ).

tff(95,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(96,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = inverse(double_divide(b3,a3)),
    inference(transitivity,[status(thm)],[95,93,91]) ).

tff(97,plain,
    double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),
    inference(monotonicity,[status(thm)],[96]) ).

tff(98,plain,
    double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = identity,
    inference(transitivity,[status(thm)],[97,43]) ).

tff(99,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),
    inference(monotonicity,[status(thm)],[98]) ).

tff(100,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[99]) ).

tff(101,plain,
    double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[30]) ).

tff(102,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[43,43]) ).

tff(103,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = identity,
    inference(transitivity,[status(thm)],[102,20,101,67,49]) ).

tff(104,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),
    inference(monotonicity,[status(thm)],[103]) ).

tff(105,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[104,100]) ).

tff(106,plain,
    double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[43]) ).

tff(107,plain,
    double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),
    inference(transitivity,[status(thm)],[106,20,101,67,49,42]) ).

tff(108,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,105]) ).

tff(109,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[108]) ).

tff(110,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(111,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[110,28]) ).

tff(112,plain,
    double_divide(identity,identity) = identity,
    inference(transitivity,[status(thm)],[20,101,67,49]) ).

tff(113,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(114,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),
    inference(unit_resolution,[status(thm)],[113,28]) ).

tff(115,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(116,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),
    inference(unit_resolution,[status(thm)],[115,28]) ).

tff(117,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),inverse(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(118,plain,
    identity = double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),inverse(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(unit_resolution,[status(thm)],[117,17]) ).

tff(119,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),inverse(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = identity,
    inference(symmetry,[status(thm)],[118]) ).

tff(120,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(121,plain,
    inverse(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),
    inference(unit_resolution,[status(thm)],[120,37]) ).

tff(122,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity) = inverse(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[121]) ).

tff(123,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity) = double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[69]) ).

tff(124,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(identity,identity)) = double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),
    inference(symmetry,[status(thm)],[123]) ).

tff(125,plain,
    double_divide(double_divide(b3,a3),identity) = double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[93]) ).

tff(126,plain,
    double_divide(double_divide(b3,a3),identity) = inverse(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[125,124,122]) ).

tff(127,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity)) = double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),inverse(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[126]) ).

tff(128,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity)) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[127,119,48,68,30,21]) ).

tff(129,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))) = double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[128]) ).

tff(130,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))) = identity,
    inference(transitivity,[status(thm)],[129,116,43]) ).

tff(131,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity)))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),
    inference(monotonicity,[status(thm)],[130]) ).

tff(132,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity)))),
    inference(symmetry,[status(thm)],[131]) ).

tff(133,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity)) = identity,
    inference(transitivity,[status(thm)],[127,119]) ).

tff(134,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[43,133]) ).

tff(135,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))) = identity,
    inference(transitivity,[status(thm)],[134,20,101,67,49]) ).

tff(136,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity)))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),
    inference(monotonicity,[status(thm)],[135]) ).

tff(137,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity)))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity)))),
    inference(transitivity,[status(thm)],[136,132]) ).

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

tff(139,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),
    inference(symmetry,[status(thm)],[138]) ).

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

tff(141,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(142,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = identity,
    inference(transitivity,[status(thm)],[141,140,114,43]) ).

tff(143,plain,
    double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = identity,
    inference(transitivity,[status(thm)],[106,20,101,67,49]) ).

tff(144,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[143,142]) ).

tff(145,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = identity,
    inference(transitivity,[status(thm)],[144,20,101,67,49]) ).

tff(146,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[43,145]) ).

tff(147,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = identity,
    inference(transitivity,[status(thm)],[146,20,101,67,49]) ).

tff(148,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[147,112]) ).

tff(149,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(150,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),
    inference(unit_resolution,[status(thm)],[149,28]) ).

tff(151,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[150]) ).

tff(152,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),
    inference(monotonicity,[status(thm)],[43]) ).

tff(153,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity)))),
    inference(transitivity,[status(thm)],[152,132]) ).

tff(154,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),
    inference(monotonicity,[status(thm)],[153]) ).

tff(155,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[154,151,148]) ).

tff(156,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(157,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(unit_resolution,[status(thm)],[156,28]) ).

tff(158,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = inverse(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[95,124,122]) ).

tff(159,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),inverse(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[158]) ).

tff(160,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = identity,
    inference(transitivity,[status(thm)],[159,119]) ).

tff(161,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),
    inference(monotonicity,[status(thm)],[160]) ).

tff(162,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[161,100]) ).

tff(163,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[162]) ).

tff(164,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[163]) ).

tff(165,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[164]) ).

tff(166,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(167,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(transitivity,[status(thm)],[166,165,157]) ).

tff(168,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(monotonicity,[status(thm)],[143,167]) ).

tff(169,plain,
    double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[168]) ).

tff(170,plain,
    double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[42,169]) ).

tff(171,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[170,155]) ).

tff(172,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[171,111,109]) ).

tff(173,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[172]) ).

tff(174,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[173]) ).

tff(175,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[174]) ).

tff(176,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(177,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(unit_resolution,[status(thm)],[176,28]) ).

tff(178,plain,
    double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[177]) ).

tff(179,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),inverse(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(180,plain,
    identity = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),inverse(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))))),
    inference(unit_resolution,[status(thm)],[179,17]) ).

tff(181,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),inverse(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))))) = identity,
    inference(symmetry,[status(thm)],[180]) ).

tff(182,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(183,plain,
    inverse(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),identity),
    inference(unit_resolution,[status(thm)],[182,37]) ).

tff(184,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),identity) = inverse(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity)))))),
    inference(symmetry,[status(thm)],[183]) ).

tff(185,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[69]) ).

tff(186,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),identity),
    inference(symmetry,[status(thm)],[185]) ).

tff(187,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(188,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),identity),
    inference(unit_resolution,[status(thm)],[187,28]) ).

tff(189,plain,
    double_divide(double_divide(b3,a3),identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[188]) ).

tff(190,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = inverse(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity)))))),
    inference(transitivity,[status(thm)],[95,93,189,186,184]) ).

tff(191,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),inverse(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))))),
    inference(monotonicity,[status(thm)],[190]) ).

tff(192,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = identity,
    inference(transitivity,[status(thm)],[191,181]) ).

tff(193,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),
    inference(monotonicity,[status(thm)],[192]) ).

tff(194,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[193,100]) ).

tff(195,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[194]) ).

tff(196,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(symmetry,[status(thm)],[195]) ).

tff(197,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[196]) ).

tff(198,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[197]) ).

tff(199,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(200,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),
    inference(unit_resolution,[status(thm)],[199,28]) ).

tff(201,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[200]) ).

tff(202,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(b3,a3),identity),inverse(double_divide(double_divide(b3,a3),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(203,plain,
    identity = double_divide(double_divide(double_divide(b3,a3),identity),inverse(double_divide(double_divide(b3,a3),identity))),
    inference(unit_resolution,[status(thm)],[202,17]) ).

tff(204,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),inverse(double_divide(double_divide(b3,a3),identity))) = identity,
    inference(symmetry,[status(thm)],[203]) ).

tff(205,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(b3,a3),identity)) = double_divide(double_divide(double_divide(b3,a3),identity),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(206,plain,
    inverse(double_divide(double_divide(b3,a3),identity)) = double_divide(double_divide(double_divide(b3,a3),identity),identity),
    inference(unit_resolution,[status(thm)],[205,37]) ).

tff(207,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),identity) = inverse(double_divide(double_divide(b3,a3),identity)),
    inference(symmetry,[status(thm)],[206]) ).

tff(208,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),inverse(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity)),
    inference(symmetry,[status(thm)],[127]) ).

tff(209,plain,
    identity = double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity)),
    inference(transitivity,[status(thm)],[118,208]) ).

tff(210,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),identity) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))),
    inference(monotonicity,[status(thm)],[209]) ).

tff(211,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))) = double_divide(double_divide(double_divide(b3,a3),identity),identity),
    inference(symmetry,[status(thm)],[210]) ).

tff(212,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))) = inverse(double_divide(double_divide(b3,a3),identity)),
    inference(transitivity,[status(thm)],[211,207]) ).

tff(213,plain,
    double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(b3,a3),identity),
    inference(transitivity,[status(thm)],[178,175,88]) ).

tff(214,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity)))) = double_divide(double_divide(double_divide(b3,a3),identity),inverse(double_divide(double_divide(b3,a3),identity))),
    inference(monotonicity,[status(thm)],[213,212]) ).

tff(215,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity)))) = identity,
    inference(transitivity,[status(thm)],[214,204]) ).

tff(216,plain,
    double_divide(double_divide(b3,a3),identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[88]) ).

tff(217,plain,
    double_divide(double_divide(b3,a3),identity) = double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[216,174,177]) ).

tff(218,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),
    inference(monotonicity,[status(thm)],[217,215]) ).

tff(219,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),
    inference(symmetry,[status(thm)],[218]) ).

tff(220,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(transitivity,[status(thm)],[99,219,201,198,165,157]) ).

tff(221,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(monotonicity,[status(thm)],[43,220]) ).

tff(222,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[100]) ).

tff(223,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)) = multiply(a3,b3),
    inference(transitivity,[status(thm)],[222,221,178,175,88,84]) ).

tff(224,plain,
    double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))) = double_divide(c3,multiply(a3,b3)),
    inference(monotonicity,[status(thm)],[223]) ).

tff(225,plain,
    double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))) = double_divide(c3,double_divide(double_divide(b3,a3),identity)),
    inference(transitivity,[status(thm)],[224,86]) ).

tff(226,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),
    inference(monotonicity,[status(thm)],[107,225]) ).

tff(227,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))),
    inference(symmetry,[status(thm)],[226]) ).

tff(228,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(229,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),
    inference(unit_resolution,[status(thm)],[228,28]) ).

tff(230,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(231,plain,
    inverse(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),
    inference(unit_resolution,[status(thm)],[230,37]) ).

tff(232,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity) = inverse(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(symmetry,[status(thm)],[231]) ).

tff(233,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),
    inference(monotonicity,[status(thm)],[217,133]) ).

tff(234,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),identity),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(235,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),identity),identity),
    inference(unit_resolution,[status(thm)],[234,28]) ).

tff(236,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(237,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[236,177,169]) ).

tff(238,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,237]) ).

tff(239,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[238]) ).

tff(240,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)) = double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(241,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)) = double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(unit_resolution,[status(thm)],[240,28]) ).

tff(242,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),inverse(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(243,plain,
    identity = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),inverse(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(unit_resolution,[status(thm)],[242,17]) ).

tff(244,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),inverse(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = identity,
    inference(symmetry,[status(thm)],[243]) ).

tff(245,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),
    inference(monotonicity,[status(thm)],[133]) ).

tff(246,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))) = inverse(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(transitivity,[status(thm)],[245,232]) ).

tff(247,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity)))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),inverse(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(monotonicity,[status(thm)],[246]) ).

tff(248,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity)))) = double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity)),
    inference(transitivity,[status(thm)],[247,244,118,208]) ).

tff(249,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))),
    inference(monotonicity,[status(thm)],[248]) ).

tff(250,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),
    inference(symmetry,[status(thm)],[249]) ).

tff(251,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),identity) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),
    inference(transitivity,[status(thm)],[210,250]) ).

tff(252,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[251,102]) ).

tff(253,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[252,241,169]) ).

tff(254,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,253]) ).

tff(255,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[254,239]) ).

tff(256,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[255]) ).

tff(257,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(symmetry,[status(thm)],[256]) ).

tff(258,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[257]) ).

tff(259,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(260,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[259,28]) ).

tff(261,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[260]) ).

tff(262,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(263,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[262,111,109]) ).

tff(264,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,263]) ).

tff(265,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[264,261,258,235,210,233,100]) ).

tff(266,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[265]) ).

tff(267,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[266]) ).

tff(268,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(269,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[268,28]) ).

tff(270,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[269]) ).

tff(271,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(272,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(unit_resolution,[status(thm)],[271,28]) ).

tff(273,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(274,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[273,272,169]) ).

tff(275,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,274]) ).

tff(276,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[275,270,267,197,200,218,100]) ).

tff(277,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[276]) ).

tff(278,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[277,221]) ).

tff(279,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),
    inference(monotonicity,[status(thm)],[278,112]) ).

tff(280,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(281,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(unit_resolution,[status(thm)],[280,28]) ).

tff(282,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[281]) ).

tff(283,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(284,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),
    inference(unit_resolution,[status(thm)],[283,28]) ).

tff(285,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)))))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(286,plain,
    double_divide(double_divide(inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)))))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),
    inference(unit_resolution,[status(thm)],[285,28]) ).

tff(287,plain,
    double_divide(double_divide(inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(288,plain,
    double_divide(double_divide(inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = identity,
    inference(transitivity,[status(thm)],[287,286,43]) ).

tff(289,plain,
    double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),
    inference(transitivity,[status(thm)],[106,20]) ).

tff(290,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),identity),
    inference(monotonicity,[status(thm)],[289,288]) ).

tff(291,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),identity) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[290]) ).

tff(292,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = inverse(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),
    inference(transitivity,[status(thm)],[102,45,40]) ).

tff(293,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),inverse(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(monotonicity,[status(thm)],[292]) ).

tff(294,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = identity,
    inference(transitivity,[status(thm)],[293,49]) ).

tff(295,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),identity),
    inference(monotonicity,[status(thm)],[289,294]) ).

tff(296,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[295,291]) ).

tff(297,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[296]) ).

tff(298,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(symmetry,[status(thm)],[297]) ).

tff(299,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[298]) ).

tff(300,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(301,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),
    inference(unit_resolution,[status(thm)],[300,28]) ).

tff(302,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(303,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = identity,
    inference(transitivity,[status(thm)],[302,301,43]) ).

tff(304,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),identity),
    inference(monotonicity,[status(thm)],[289,303]) ).

tff(305,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[304,291]) ).

tff(306,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[305]) ).

tff(307,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity),inverse(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),inverse(double_divide(double_divide(c3,b3),identity))),identity)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[306]) ).

tff(308,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(309,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))),
    inference(unit_resolution,[status(thm)],[308,28]) ).

tff(310,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[309]) ).

tff(311,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(identity,identity)) = double_divide(identity,c3) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(312,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(identity,identity)) = double_divide(identity,c3),
    inference(unit_resolution,[status(thm)],[311,28]) ).

tff(313,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[69]) ).

tff(314,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity) = double_divide(identity,c3),
    inference(transitivity,[status(thm)],[313,312]) ).

tff(315,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),
    inference(monotonicity,[status(thm)],[314]) ).

tff(316,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))),
    inference(monotonicity,[status(thm)],[213,315]) ).

tff(317,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[316,310,307,299,284,43,48,68,30,21]) ).

tff(318,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = c3 ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(319,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = c3,
    inference(unit_resolution,[status(thm)],[318,28]) ).

tff(320,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(321,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = c3,
    inference(transitivity,[status(thm)],[320,319]) ).

tff(322,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(identity,c3),
    inference(monotonicity,[status(thm)],[143,321]) ).

tff(323,plain,
    double_divide(identity,c3) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[322]) ).

tff(324,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[313,312,323]) ).

tff(325,plain,
    double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[42,324]) ).

tff(326,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[325,317]) ).

tff(327,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))),
    inference(symmetry,[status(thm)],[326]) ).

tff(328,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(329,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(unit_resolution,[status(thm)],[328,28]) ).

tff(330,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[329]) ).

tff(331,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(monotonicity,[status(thm)],[227]) ).

tff(332,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))),
    inference(transitivity,[status(thm)],[331,330,327]) ).

tff(333,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(monotonicity,[status(thm)],[332]) ).

tff(334,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))) = inverse(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(transitivity,[status(thm)],[333,282,279,232]) ).

tff(335,plain,
    double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[42,100]) ).

tff(336,plain,
    double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)) = double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[335,221]) ).

tff(337,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),inverse(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(monotonicity,[status(thm)],[336,334]) ).

tff(338,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),inverse(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))),
    inference(symmetry,[status(thm)],[337]) ).

tff(339,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),inverse(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(340,plain,
    identity = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),inverse(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))),
    inference(unit_resolution,[status(thm)],[339,17]) ).

tff(341,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),inverse(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))) = identity,
    inference(symmetry,[status(thm)],[340]) ).

tff(342,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(343,plain,
    inverse(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),identity),
    inference(unit_resolution,[status(thm)],[342,37]) ).

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

tff(345,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),identity) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[69]) ).

tff(346,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,identity)) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),identity),
    inference(symmetry,[status(thm)],[345]) ).

tff(347,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(348,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(unit_resolution,[status(thm)],[347,28]) ).

tff(349,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[348]) ).

tff(350,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(351,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(unit_resolution,[status(thm)],[350,28]) ).

tff(352,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(353,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[352,312,323]) ).

tff(354,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,353]) ).

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

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

tff(357,plain,
    double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,multiply(a3,b3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),
    inference(unit_resolution,[status(thm)],[356,28]) ).

tff(358,plain,
    double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,multiply(a3,b3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,multiply(a3,b3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(359,plain,
    double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,multiply(a3,b3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[358,357,313,312,323]) ).

tff(360,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,multiply(a3,b3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,359]) ).

tff(361,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,multiply(a3,b3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[360,355]) ).

tff(362,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,multiply(a3,b3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[361]) ).

tff(363,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,multiply(a3,b3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[362]) ).

tff(364,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,multiply(a3,b3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,multiply(a3,b3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(365,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,multiply(a3,b3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,multiply(a3,b3)))))),
    inference(unit_resolution,[status(thm)],[364,28]) ).

tff(366,plain,
    double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,multiply(a3,b3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,multiply(a3,b3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[365]) ).

tff(367,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(368,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),
    inference(unit_resolution,[status(thm)],[367,28]) ).

tff(369,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(370,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = identity,
    inference(transitivity,[status(thm)],[369,368,43]) ).

tff(371,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[143,370]) ).

tff(372,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = identity,
    inference(transitivity,[status(thm)],[371,20,101,67,49]) ).

tff(373,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[43,372]) ).

tff(374,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = identity,
    inference(transitivity,[status(thm)],[373,20,101,67,49]) ).

tff(375,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[374,112]) ).

tff(376,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(377,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),
    inference(unit_resolution,[status(thm)],[376,28]) ).

tff(378,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[377]) ).

tff(379,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))),
    inference(monotonicity,[status(thm)],[213]) ).

tff(380,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))) = identity,
    inference(transitivity,[status(thm)],[379,310,307,299,284,43]) ).

tff(381,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[43,380]) ).

tff(382,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))),
    inference(symmetry,[status(thm)],[233]) ).

tff(383,plain,
    double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),
    inference(transitivity,[status(thm)],[170,270,267,197,200,218,382,250]) ).

tff(384,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[383,381]) ).

tff(385,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(symmetry,[status(thm)],[384]) ).

tff(386,plain,
    double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[241]) ).

tff(387,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)) = double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(transitivity,[status(thm)],[222,221,386,385]) ).

tff(388,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),
    inference(monotonicity,[status(thm)],[387]) ).

tff(389,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))) = identity,
    inference(transitivity,[status(thm)],[388,378,375,20,101,67,49]) ).

tff(390,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[143,389]) ).

tff(391,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),
    inference(transitivity,[status(thm)],[382,250]) ).

tff(392,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[391,390]) ).

tff(393,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))) = double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[392,241]) ).

tff(394,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),
    inference(monotonicity,[status(thm)],[393,112]) ).

tff(395,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(396,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),
    inference(unit_resolution,[status(thm)],[395,28]) ).

tff(397,plain,
    double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[396]) ).

tff(398,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,multiply(a3,b3))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),
    inference(monotonicity,[status(thm)],[86]) ).

tff(399,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,multiply(a3,b3)))) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),
    inference(monotonicity,[status(thm)],[314,398]) ).

tff(400,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,multiply(a3,b3)))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[399,397,394,100]) ).

tff(401,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,multiply(a3,b3))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,400]) ).

tff(402,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,multiply(a3,b3))))),
    inference(symmetry,[status(thm)],[401]) ).

tff(403,plain,
    double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(symmetry,[status(thm)],[221]) ).

tff(404,plain,
    double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,multiply(a3,b3))))),
    inference(transitivity,[status(thm)],[403,402]) ).

tff(405,plain,
    double_divide(double_divide(c3,multiply(a3,b3)),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,multiply(a3,b3)))))),
    inference(monotonicity,[status(thm)],[404]) ).

tff(406,plain,
    double_divide(double_divide(c3,multiply(a3,b3)),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = inverse(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),
    inference(transitivity,[status(thm)],[405,366,363,351,349,346,344]) ).

tff(407,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),inverse(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))),
    inference(monotonicity,[status(thm)],[406]) ).

tff(408,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))),
    inference(transitivity,[status(thm)],[407,341,243,338]) ).

tff(409,plain,
    double_divide(identity,double_divide(c3,multiply(a3,b3))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),
    inference(monotonicity,[status(thm)],[42,86]) ).

tff(410,plain,
    double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(monotonicity,[status(thm)],[409,408]) ).

tff(411,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) = double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(symmetry,[status(thm)],[410]) ).

tff(412,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(413,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(unit_resolution,[status(thm)],[412,28]) ).

tff(414,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),identity),inverse(double_divide(double_divide(double_divide(b3,a3),identity),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(415,plain,
    identity = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),identity),inverse(double_divide(double_divide(double_divide(b3,a3),identity),identity))),
    inference(unit_resolution,[status(thm)],[414,17]) ).

tff(416,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),identity),inverse(double_divide(double_divide(double_divide(b3,a3),identity),identity))) = identity,
    inference(symmetry,[status(thm)],[415]) ).

tff(417,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(double_divide(b3,a3),identity),identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),identity),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(418,plain,
    inverse(double_divide(double_divide(double_divide(b3,a3),identity),identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),identity),identity),
    inference(unit_resolution,[status(thm)],[417,37]) ).

tff(419,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),identity),identity) = inverse(double_divide(double_divide(double_divide(b3,a3),identity),identity)),
    inference(symmetry,[status(thm)],[418]) ).

tff(420,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),identity),identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[251,69]) ).

tff(421,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),identity),identity),
    inference(symmetry,[status(thm)],[420]) ).

tff(422,plain,
    double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = inverse(double_divide(double_divide(double_divide(b3,a3),identity),identity)),
    inference(transitivity,[status(thm)],[386,421,419]) ).

tff(423,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity) = double_divide(double_divide(double_divide(b3,a3),identity),identity),
    inference(transitivity,[status(thm)],[382,211]) ).

tff(424,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),identity),inverse(double_divide(double_divide(double_divide(b3,a3),identity),identity))),
    inference(monotonicity,[status(thm)],[423,422]) ).

tff(425,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[424,416,48,68,30,21]) ).

tff(426,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[425]) ).

tff(427,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[426,413,411]) ).

tff(428,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[336,427]) ).

tff(429,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(symmetry,[status(thm)],[428]) ).

tff(430,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))),
    inference(transitivity,[status(thm)],[424,416,243,338]) ).

tff(431,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(monotonicity,[status(thm)],[430]) ).

tff(432,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[431,411]) ).

tff(433,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[336,432]) ).

tff(434,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[433,429]) ).

tff(435,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[434]) ).

tff(436,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(symmetry,[status(thm)],[435]) ).

tff(437,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[436]) ).

tff(438,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(439,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(unit_resolution,[status(thm)],[438,28]) ).

tff(440,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[439]) ).

tff(441,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(442,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),
    inference(unit_resolution,[status(thm)],[441,28]) ).

tff(443,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),inverse(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(monotonicity,[status(thm)],[232]) ).

tff(444,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[443,244,48,68,30,21]) ).

tff(445,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[444]) ).

tff(446,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))),
    inference(transitivity,[status(thm)],[445,442,227]) ).

tff(447,plain,
    double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),
    inference(transitivity,[status(thm)],[170,270,267,197,200,218]) ).

tff(448,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(monotonicity,[status(thm)],[447,446]) ).

tff(449,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))),
    inference(symmetry,[status(thm)],[448]) ).

tff(450,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[444]) ).

tff(451,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))) = double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))),
    inference(transitivity,[status(thm)],[450,329,449]) ).

tff(452,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(monotonicity,[status(thm)],[447,451]) ).

tff(453,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))),
    inference(transitivity,[status(thm)],[452,440,437,229,227]) ).

tff(454,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(monotonicity,[status(thm)],[453]) ).

tff(455,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(symmetry,[status(thm)],[454]) ).

tff(456,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[455]) ).

tff(457,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[456]) ).

tff(458,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(459,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[458,28]) ).

tff(460,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[459]) ).

tff(461,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(462,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[461,28]) ).

tff(463,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),inverse(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(464,plain,
    identity = double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),inverse(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),
    inference(unit_resolution,[status(thm)],[463,17]) ).

tff(465,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),inverse(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))) = identity,
    inference(symmetry,[status(thm)],[464]) ).

tff(466,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(467,plain,
    inverse(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),
    inference(unit_resolution,[status(thm)],[466,37]) ).

tff(468,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity) = inverse(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(symmetry,[status(thm)],[467]) ).

tff(469,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),inverse(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),
    inference(monotonicity,[status(thm)],[468]) ).

tff(470,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)) = identity,
    inference(transitivity,[status(thm)],[469,465]) ).

tff(471,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[43,470]) ).

tff(472,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(473,plain,
    identity = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(unit_resolution,[status(thm)],[472,17]) ).

tff(474,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = identity,
    inference(symmetry,[status(thm)],[473]) ).

tff(475,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(476,plain,
    inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),
    inference(unit_resolution,[status(thm)],[475,37]) ).

tff(477,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity) = inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),
    inference(symmetry,[status(thm)],[476]) ).

tff(478,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[69]) ).

tff(479,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),
    inference(symmetry,[status(thm)],[478]) ).

tff(480,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(481,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),
    inference(transitivity,[status(thm)],[480,479,477]) ).

tff(482,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(monotonicity,[status(thm)],[481]) ).

tff(483,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[482,474,48,68,30,21]) ).

tff(484,plain,
    double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[42,355]) ).

tff(485,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[484,483]) ).

tff(486,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[485]) ).

tff(487,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[351]) ).

tff(488,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[487,486]) ).

tff(489,plain,
    double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[42,488]) ).

tff(490,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[489,471]) ).

tff(491,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)))) = inverse(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))))),
    inference(transitivity,[status(thm)],[490,462,460,457,81,79]) ).

tff(492,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),
    inference(symmetry,[status(thm)],[313]) ).

tff(493,plain,
    double_divide(identity,c3) = double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[312]) ).

tff(494,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3) = double_divide(identity,c3),
    inference(monotonicity,[status(thm)],[43]) ).

tff(495,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3) = inverse(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(transitivity,[status(thm)],[494,493,492,468]) ).

tff(496,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)) = double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),inverse(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),
    inference(monotonicity,[status(thm)],[495]) ).

tff(497,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)) = identity,
    inference(transitivity,[status(thm)],[496,465]) ).

tff(498,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[143,497]) ).

tff(499,plain,
    double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))),
    inference(symmetry,[status(thm)],[498]) ).

tff(500,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = c3,
    inference(transitivity,[status(thm)],[460,457,319]) ).

tff(501,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),
    inference(monotonicity,[status(thm)],[500,499]) ).

tff(502,plain,
    double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[501]) ).

tff(503,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(504,plain,
    identity = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(unit_resolution,[status(thm)],[503,17]) ).

tff(505,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = identity,
    inference(symmetry,[status(thm)],[504]) ).

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

tff(507,plain,
    inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),
    inference(unit_resolution,[status(thm)],[506,37]) ).

tff(508,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity) = inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),
    inference(symmetry,[status(thm)],[507]) ).

tff(509,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[69]) ).

tff(510,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),
    inference(symmetry,[status(thm)],[509]) ).

tff(511,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))) = inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),
    inference(transitivity,[status(thm)],[330,479,477]) ).

tff(512,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(monotonicity,[status(thm)],[511]) ).

tff(513,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[512,474,48,68,30,21]) ).

tff(514,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[513]) ).

tff(515,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))))) = inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),
    inference(transitivity,[status(thm)],[514,510,508]) ).

tff(516,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(monotonicity,[status(thm)],[484,515]) ).

tff(517,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[516,505,48,68,30,21]) ).

tff(518,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[517]) ).

tff(519,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))))))) = c3,
    inference(transitivity,[status(thm)],[518,319]) ).

tff(520,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))))))),double_divide(identity,identity)) = double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),
    inference(monotonicity,[status(thm)],[519,499]) ).

tff(521,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(522,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[521,28]) ).

tff(523,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[522]) ).

tff(524,plain,
    c3 = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[319]) ).

tff(525,plain,
    c3 = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[524,456,459,355]) ).

tff(526,plain,
    double_divide(identity,c3) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[42,525]) ).

tff(527,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(transitivity,[status(thm)],[313,312,526,523,520,502,329]) ).

tff(528,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),inverse(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))))),
    inference(monotonicity,[status(thm)],[527,491]) ).

tff(529,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)))),
    inference(symmetry,[status(thm)],[490]) ).

tff(530,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[462]) ).

tff(531,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)))),
    inference(transitivity,[status(thm)],[530,529]) ).

tff(532,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(identity,c3),
    inference(symmetry,[status(thm)],[526]) ).

tff(533,plain,
    double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))) = double_divide(double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[520]) ).

tff(534,plain,
    double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))) = double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),
    inference(transitivity,[status(thm)],[533,522,532,493,492]) ).

tff(535,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity))))),
    inference(monotonicity,[status(thm)],[534,531]) ).

tff(536,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[535,528,76,48,68,30,21]) ).

tff(537,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[536]) ).

tff(538,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = a3,
    inference(transitivity,[status(thm)],[537,73]) ).

tff(539,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(540,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[539,28]) ).

tff(541,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(542,plain,
    double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[541,540,355]) ).

tff(543,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,542]) ).

tff(544,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[543,532,323]) ).

tff(545,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[544]) ).

tff(546,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[543]) ).

tff(547,plain,
    double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[533,522,546]) ).

tff(548,plain,
    double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[42,547]) ).

tff(549,plain,
    double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))) = c3,
    inference(transitivity,[status(thm)],[548,545,460,457,319]) ).

tff(550,plain,
    double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(c3,a3),
    inference(monotonicity,[status(thm)],[549,538]) ).

tff(551,plain,
    double_divide(c3,a3) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(symmetry,[status(thm)],[550]) ).

tff(552,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(c3,a3) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(553,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(c3,a3),
    inference(unit_resolution,[status(thm)],[552,28]) ).

tff(554,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),
    inference(monotonicity,[status(thm)],[112]) ).

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

tff(556,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(557,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),
    inference(unit_resolution,[status(thm)],[556,28]) ).

tff(558,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(c3,a3)) = double_divide(double_divide(c3,a3),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(559,plain,
    inverse(double_divide(c3,a3)) = double_divide(double_divide(c3,a3),identity),
    inference(unit_resolution,[status(thm)],[558,37]) ).

tff(560,plain,
    double_divide(double_divide(c3,a3),identity) = inverse(double_divide(c3,a3)),
    inference(symmetry,[status(thm)],[559]) ).

tff(561,plain,
    double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(c3,a3),identity),
    inference(monotonicity,[status(thm)],[43]) ).

tff(562,plain,
    double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = inverse(double_divide(c3,a3)),
    inference(transitivity,[status(thm)],[561,560]) ).

tff(563,plain,
    double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(c3,a3),inverse(double_divide(c3,a3))),
    inference(monotonicity,[status(thm)],[562]) ).

tff(564,plain,
    double_divide(double_divide(c3,a3),inverse(double_divide(c3,a3))) = double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(symmetry,[status(thm)],[563]) ).

tff(565,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(c3,a3),inverse(double_divide(c3,a3))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(566,plain,
    identity = double_divide(double_divide(c3,a3),inverse(double_divide(c3,a3))),
    inference(unit_resolution,[status(thm)],[565,17]) ).

tff(567,plain,
    double_divide(identity,identity) = double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(transitivity,[status(thm)],[20,101,67,49,566,564]) ).

tff(568,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(c3,a3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(569,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(c3,a3)),
    inference(unit_resolution,[status(thm)],[568,28]) ).

tff(570,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(transitivity,[status(thm)],[102,20,101,67,49,566,564]) ).

tff(571,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(monotonicity,[status(thm)],[570]) ).

tff(572,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,571]) ).

tff(573,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[572]) ).

tff(574,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(575,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[574,28]) ).

tff(576,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(577,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),
    inference(unit_resolution,[status(thm)],[576,28]) ).

tff(578,plain,
    double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[577]) ).

tff(579,plain,
    double_divide(double_divide(c3,a3),inverse(double_divide(c3,a3))) = identity,
    inference(symmetry,[status(thm)],[566]) ).

tff(580,plain,
    double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity)) = double_divide(double_divide(c3,a3),inverse(double_divide(c3,a3))),
    inference(monotonicity,[status(thm)],[560]) ).

tff(581,plain,
    double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity)) = identity,
    inference(transitivity,[status(thm)],[580,579]) ).

tff(582,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[43,581]) ).

tff(583,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))) = double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(transitivity,[status(thm)],[582,20,101,67,49,566,564]) ).

tff(584,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity)))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(monotonicity,[status(thm)],[583]) ).

tff(585,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity)))),
    inference(symmetry,[status(thm)],[584]) ).

tff(586,plain,
    double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))) = double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(transitivity,[status(thm)],[43,566,564]) ).

tff(587,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(monotonicity,[status(thm)],[586]) ).

tff(588,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity)))),
    inference(transitivity,[status(thm)],[587,585]) ).

tff(589,plain,
    double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),identity))))),
    inference(monotonicity,[status(thm)],[588]) ).

tff(590,plain,
    double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[589,578,140,114,43,48,68,30,21]) ).

tff(591,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(592,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(c3,a3),
    inference(transitivity,[status(thm)],[591,553]) ).

tff(593,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(identity,double_divide(c3,a3)),
    inference(monotonicity,[status(thm)],[143,592]) ).

tff(594,plain,
    double_divide(identity,double_divide(c3,a3)) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[593]) ).

tff(595,plain,
    double_divide(identity,double_divide(identity,double_divide(c3,a3))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[42,594]) ).

tff(596,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[595,590]) ).

tff(597,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[596,575,573]) ).

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

tff(599,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[598]) ).

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

tff(601,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,a3),identity),
    inference(unit_resolution,[status(thm)],[600,28]) ).

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

tff(603,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(604,plain,
    identity = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(unit_resolution,[status(thm)],[603,17]) ).

tff(605,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = identity,
    inference(symmetry,[status(thm)],[604]) ).

tff(606,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(607,plain,
    inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),
    inference(unit_resolution,[status(thm)],[606,37]) ).

tff(608,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity) = inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),
    inference(symmetry,[status(thm)],[607]) ).

tff(609,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[69]) ).

tff(610,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),
    inference(symmetry,[status(thm)],[609]) ).

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

tff(612,plain,
    identity = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(unit_resolution,[status(thm)],[611,17]) ).

tff(613,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = identity,
    inference(symmetry,[status(thm)],[612]) ).

tff(614,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(615,plain,
    inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),
    inference(unit_resolution,[status(thm)],[614,37]) ).

tff(616,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity) = inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),
    inference(symmetry,[status(thm)],[615]) ).

tff(617,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(monotonicity,[status(thm)],[616]) ).

tff(618,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)) = identity,
    inference(transitivity,[status(thm)],[617,613]) ).

tff(619,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity) = double_divide(c3,a3),
    inference(transitivity,[status(thm)],[555,553]) ).

tff(620,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity))) = double_divide(double_divide(c3,a3),identity),
    inference(monotonicity,[status(thm)],[619,618]) ).

tff(621,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity))) = inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),
    inference(transitivity,[status(thm)],[620,602,599,610,608]) ).

tff(622,plain,
    double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[42,573]) ).

tff(623,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(monotonicity,[status(thm)],[622,621]) ).

tff(624,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)))) = identity,
    inference(transitivity,[status(thm)],[623,605]) ).

tff(625,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity))))) = double_divide(double_divide(c3,a3),identity),
    inference(monotonicity,[status(thm)],[619,624]) ).

tff(626,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity))))) = double_divide(identity,double_divide(c3,a3)),
    inference(transitivity,[status(thm)],[625,602,599,569]) ).

tff(627,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(monotonicity,[status(thm)],[626,567]) ).

tff(628,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[627]) ).

tff(629,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(c3,a3),identity))))),double_divide(identity,identity)) = double_divide(identity,double_divide(c3,a3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(630,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(c3,a3),identity))))),double_divide(identity,identity)) = double_divide(identity,double_divide(c3,a3)),
    inference(unit_resolution,[status(thm)],[629,28]) ).

tff(631,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(identity,double_divide(c3,a3)),inverse(double_divide(identity,double_divide(c3,a3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(632,plain,
    identity = double_divide(double_divide(identity,double_divide(c3,a3)),inverse(double_divide(identity,double_divide(c3,a3)))),
    inference(unit_resolution,[status(thm)],[631,17]) ).

tff(633,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),inverse(double_divide(identity,double_divide(c3,a3)))) = identity,
    inference(symmetry,[status(thm)],[632]) ).

tff(634,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(identity,double_divide(c3,a3))) = double_divide(double_divide(identity,double_divide(c3,a3)),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(635,plain,
    inverse(double_divide(identity,double_divide(c3,a3))) = double_divide(double_divide(identity,double_divide(c3,a3)),identity),
    inference(unit_resolution,[status(thm)],[634,37]) ).

tff(636,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),identity) = inverse(double_divide(identity,double_divide(c3,a3))),
    inference(symmetry,[status(thm)],[635]) ).

tff(637,plain,
    identity = double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(transitivity,[status(thm)],[566,564]) ).

tff(638,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),identity) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(monotonicity,[status(thm)],[637]) ).

tff(639,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(c3,a3)),identity),
    inference(symmetry,[status(thm)],[638]) ).

tff(640,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(c3,a3),identity)) = double_divide(double_divide(c3,a3),inverse(double_divide(c3,a3))),
    inference(monotonicity,[status(thm)],[619,560]) ).

tff(641,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(c3,a3),identity)) = double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(transitivity,[status(thm)],[640,564]) ).

tff(642,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(c3,a3),identity))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(monotonicity,[status(thm)],[641]) ).

tff(643,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(c3,a3),identity))) = inverse(double_divide(identity,double_divide(c3,a3))),
    inference(transitivity,[status(thm)],[642,639,636]) ).

tff(644,plain,
    double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)) = double_divide(identity,double_divide(c3,a3)),
    inference(monotonicity,[status(thm)],[619]) ).

tff(645,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(c3,a3),identity)))) = double_divide(double_divide(identity,double_divide(c3,a3)),inverse(double_divide(identity,double_divide(c3,a3)))),
    inference(monotonicity,[status(thm)],[644,643]) ).

tff(646,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(c3,a3),identity)))) = double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(transitivity,[status(thm)],[645,633,566,564]) ).

tff(647,plain,
    double_divide(double_divide(c3,a3),identity) = double_divide(identity,double_divide(c3,a3)),
    inference(transitivity,[status(thm)],[602,599,569]) ).

tff(648,plain,
    double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(c3,a3),identity))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(monotonicity,[status(thm)],[647,646]) ).

tff(649,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(c3,a3),identity))))),
    inference(symmetry,[status(thm)],[648]) ).

tff(650,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(651,plain,
    identity = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(unit_resolution,[status(thm)],[650,17]) ).

tff(652,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = identity,
    inference(symmetry,[status(thm)],[651]) ).

tff(653,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(654,plain,
    inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),
    inference(unit_resolution,[status(thm)],[653,37]) ).

tff(655,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity) = inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),
    inference(symmetry,[status(thm)],[654]) ).

tff(656,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[69]) ).

tff(657,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),
    inference(symmetry,[status(thm)],[656]) ).

tff(658,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = inverse(double_divide(identity,double_divide(c3,a3))),
    inference(transitivity,[status(thm)],[639,636]) ).

tff(659,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(c3,a3)),inverse(double_divide(identity,double_divide(c3,a3)))),
    inference(monotonicity,[status(thm)],[658]) ).

tff(660,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[659,633,48,68,30,21]) ).

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

tff(662,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),
    inference(transitivity,[status(thm)],[661,657,655]) ).

tff(663,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(monotonicity,[status(thm)],[595,662]) ).

tff(664,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[663,652,48,68,30,21]) ).

tff(665,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(c3,a3),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[649,664]) ).

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

tff(667,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(monotonicity,[status(thm)],[666,567]) ).

tff(668,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(669,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[668,28]) ).

tff(670,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[669]) ).

tff(671,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(c3,a3),
    inference(transitivity,[status(thm)],[628,557,555,553]) ).

tff(672,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(identity,double_divide(c3,a3)),
    inference(monotonicity,[status(thm)],[43,671]) ).

tff(673,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(674,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(unit_resolution,[status(thm)],[673,28]) ).

tff(675,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(676,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[675,674]) ).

tff(677,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,676]) ).

tff(678,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[677,672,594]) ).

tff(679,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[678]) ).

tff(680,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(c3,a3),identity))))),
    inference(transitivity,[status(thm)],[679,670,667,649]) ).

tff(681,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(c3,a3),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[680]) ).

tff(682,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(683,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(unit_resolution,[status(thm)],[682,28]) ).

tff(684,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[683]) ).

tff(685,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(identity,double_divide(c3,a3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(686,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(identity,double_divide(c3,a3)),
    inference(unit_resolution,[status(thm)],[685,28]) ).

tff(687,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(688,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[687,686,594]) ).

tff(689,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,688]) ).

tff(690,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[689,670,667]) ).

tff(691,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[690]) ).

tff(692,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(identity,double_divide(c3,a3)),
    inference(transitivity,[status(thm)],[691,672]) ).

tff(693,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(monotonicity,[status(thm)],[692,567]) ).

tff(694,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(695,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),
    inference(unit_resolution,[status(thm)],[694,28]) ).

tff(696,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[695]) ).

tff(697,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(c3,a3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(698,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(c3,a3)),
    inference(unit_resolution,[status(thm)],[697,28]) ).

tff(699,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(700,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[699,698,594]) ).

tff(701,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,700]) ).

tff(702,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[701,670,667]) ).

tff(703,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[702]) ).

tff(704,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(identity,double_divide(c3,a3)),
    inference(transitivity,[status(thm)],[703,672]) ).

tff(705,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(monotonicity,[status(thm)],[704,567]) ).

tff(706,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(707,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(unit_resolution,[status(thm)],[706,28]) ).

tff(708,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[707]) ).

tff(709,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(transitivity,[status(thm)],[659,633,566,564]) ).

tff(710,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(monotonicity,[status(thm)],[709]) ).

tff(711,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(c3,a3),
    inference(transitivity,[status(thm)],[710,628,557,555,553]) ).

tff(712,plain,
    double_divide(identity,double_divide(identity,double_divide(c3,a3))) = double_divide(c3,a3),
    inference(transitivity,[status(thm)],[595,670,667,628,557,555,553]) ).

tff(713,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(c3,a3),double_divide(c3,a3)),
    inference(monotonicity,[status(thm)],[712,711]) ).

tff(714,plain,
    double_divide(double_divide(c3,a3),double_divide(c3,a3)) = double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(symmetry,[status(thm)],[713]) ).

tff(715,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(monotonicity,[status(thm)],[714]) ).

tff(716,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))) = inverse(double_divide(identity,double_divide(c3,a3))),
    inference(transitivity,[status(thm)],[715,708,705,639,636]) ).

tff(717,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(c3,a3)),inverse(double_divide(identity,double_divide(c3,a3)))),
    inference(monotonicity,[status(thm)],[716]) ).

tff(718,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))) = double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(transitivity,[status(thm)],[717,633,566,564]) ).

tff(719,plain,
    double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[42]) ).

tff(720,plain,
    double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(identity,double_divide(c3,a3)),
    inference(transitivity,[status(thm)],[719,672]) ).

tff(721,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(monotonicity,[status(thm)],[720,718]) ).

tff(722,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[721]) ).

tff(723,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[587,722]) ).

tff(724,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[723]) ).

tff(725,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(c3,a3),
    inference(transitivity,[status(thm)],[724,696,693,628,557,555,553]) ).

tff(726,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(c3,a3),double_divide(c3,a3)),
    inference(monotonicity,[status(thm)],[712,725]) ).

tff(727,plain,
    double_divide(double_divide(c3,a3),double_divide(c3,a3)) = double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[726]) ).

tff(728,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[594]) ).

tff(729,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))) = double_divide(c3,a3),
    inference(transitivity,[status(thm)],[728,670,667,628,557,555,553]) ).

tff(730,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(c3,a3),double_divide(c3,a3)),
    inference(monotonicity,[status(thm)],[671,729]) ).

tff(731,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[730,727]) ).

tff(732,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,731]) ).

tff(733,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[732]) ).

tff(734,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(735,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[734,28]) ).

tff(736,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,a3),double_divide(c3,a3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(737,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,a3),double_divide(c3,a3)),
    inference(unit_resolution,[status(thm)],[736,28]) ).

tff(738,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(739,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[738,737,727]) ).

tff(740,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,739]) ).

tff(741,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[740]) ).

tff(742,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(c3,a3),double_divide(c3,a3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(743,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(c3,a3),double_divide(c3,a3)),
    inference(unit_resolution,[status(thm)],[742,28]) ).

tff(744,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(745,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[744,743,727]) ).

tff(746,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,745]) ).

tff(747,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[746,741]) ).

tff(748,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[747]) ).

tff(749,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[748]) ).

tff(750,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(751,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(unit_resolution,[status(thm)],[750,28]) ).

tff(752,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[751]) ).

tff(753,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[728,670,667,722]) ).

tff(754,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[753]) ).

tff(755,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[754,696,693]) ).

tff(756,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,755]) ).

tff(757,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[756]) ).

tff(758,plain,
    double_divide(identity,double_divide(c3,a3)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(symmetry,[status(thm)],[672]) ).

tff(759,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(identity,identity)) = double_divide(identity,double_divide(c3,a3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(760,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(identity,identity)) = double_divide(identity,double_divide(c3,a3)),
    inference(unit_resolution,[status(thm)],[759,28]) ).

tff(761,plain,
    double_divide(identity,double_divide(c3,a3)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[569]) ).

tff(762,plain,
    double_divide(identity,double_divide(c3,a3)) = inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),
    inference(transitivity,[status(thm)],[761,610,608]) ).

tff(763,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(764,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[763,28]) ).

tff(765,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[617,613,48,68,30,21]) ).

tff(766,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[765]) ).

tff(767,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity))) = inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),
    inference(transitivity,[status(thm)],[766,610,608]) ).

tff(768,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(monotonicity,[status(thm)],[622,767]) ).

tff(769,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)))) = identity,
    inference(transitivity,[status(thm)],[768,605]) ).

tff(770,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity))))) = double_divide(double_divide(c3,a3),identity),
    inference(monotonicity,[status(thm)],[619,769]) ).

tff(771,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity))))) = double_divide(identity,double_divide(c3,a3)),
    inference(transitivity,[status(thm)],[770,602,599,569]) ).

tff(772,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(monotonicity,[status(thm)],[771,567]) ).

tff(773,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[772]) ).

tff(774,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(transitivity,[status(thm)],[773,764]) ).

tff(775,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(monotonicity,[status(thm)],[774,762]) ).

tff(776,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[775,605,48,68,30,21]) ).

tff(777,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[776]) ).

tff(778,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[777,760,758,757]) ).

tff(779,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[720,778]) ).

tff(780,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[779,752,749,735,733]) ).

tff(781,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[780]) ).

tff(782,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(identity,double_divide(c3,a3)),
    inference(transitivity,[status(thm)],[781,684,681,630]) ).

tff(783,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(monotonicity,[status(thm)],[782,567]) ).

tff(784,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(785,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),
    inference(unit_resolution,[status(thm)],[784,28]) ).

tff(786,plain,
    double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[785]) ).

tff(787,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[557]) ).

tff(788,plain,
    double_divide(c3,a3) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[553]) ).

tff(789,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3) = double_divide(c3,a3),
    inference(monotonicity,[status(thm)],[500]) ).

tff(790,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3) = inverse(double_divide(identity,double_divide(c3,a3))),
    inference(transitivity,[status(thm)],[789,788,554,787,627,639,636]) ).

tff(791,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)) = double_divide(double_divide(identity,double_divide(c3,a3)),inverse(double_divide(identity,double_divide(c3,a3)))),
    inference(monotonicity,[status(thm)],[790]) ).

tff(792,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[791,633,48,68,30,21]) ).

tff(793,plain,
    double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),
    inference(transitivity,[status(thm)],[484,523,520]) ).

tff(794,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[793,792]) ).

tff(795,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3))),
    inference(symmetry,[status(thm)],[794]) ).

tff(796,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(797,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3))),
    inference(transitivity,[status(thm)],[796,795]) ).

tff(798,plain,
    double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),
    inference(monotonicity,[status(thm)],[797]) ).

tff(799,plain,
    double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[798,786,783,628,557,555,553,551]) ).

tff(800,plain,
    double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(transitivity,[status(thm)],[548,545]) ).

tff(801,plain,
    double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[800,799]) ).

tff(802,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[801]) ).

tff(803,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[728,670,667,628,557,555,553,551]) ).

tff(804,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[803]) ).

tff(805,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[804,802]) ).

tff(806,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,805]) ).

tff(807,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[806]) ).

tff(808,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(809,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[808,28]) ).

tff(810,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[776]) ).

tff(811,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[810,809,807]) ).

tff(812,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[720,811]) ).

tff(813,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[812]) ).

tff(814,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(815,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(unit_resolution,[status(thm)],[814,28]) ).

tff(816,plain,
    double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))),
    inference(transitivity,[status(thm)],[43,48,68,30,21,499]) ).

tff(817,plain,
    double_divide(c3,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),
    inference(monotonicity,[status(thm)],[816]) ).

tff(818,plain,
    double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))) = double_divide(c3,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),
    inference(symmetry,[status(thm)],[817]) ).

tff(819,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,identity)) = double_divide(double_divide(c3,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity),
    inference(monotonicity,[status(thm)],[818,112]) ).

tff(820,plain,
    double_divide(double_divide(c3,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[819]) ).

tff(821,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
    | ( multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3) = double_divide(double_divide(c3,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(822,plain,
    multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3) = double_divide(double_divide(c3,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity),
    inference(unit_resolution,[status(thm)],[821,7]) ).

tff(823,plain,
    c3 = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(transitivity,[status(thm)],[524,456,459]) ).

tff(824,plain,
    multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3) = multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),
    inference(monotonicity,[status(thm)],[823]) ).

tff(825,plain,
    multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3),
    inference(symmetry,[status(thm)],[824]) ).

tff(826,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
    | ( multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(827,plain,
    multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity),
    inference(unit_resolution,[status(thm)],[826,7]) ).

tff(828,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity) = multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),
    inference(symmetry,[status(thm)],[827]) ).

tff(829,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(transitivity,[status(thm)],[480,329]) ).

tff(830,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[829,69]) ).

tff(831,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity),
    inference(symmetry,[status(thm)],[830]) ).

tff(832,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[547]) ).

tff(833,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3))),
    inference(transitivity,[status(thm)],[832,545,460,457,831,828,825,822,820,795]) ).

tff(834,plain,
    double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))) = double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),
    inference(monotonicity,[status(thm)],[833]) ).

tff(835,plain,
    double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[834,786,783]) ).

tff(836,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,835]) ).

tff(837,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))),
    inference(symmetry,[status(thm)],[836]) ).

tff(838,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(identity,double_divide(c3,a3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(839,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(identity,double_divide(c3,a3)),
    inference(unit_resolution,[status(thm)],[838,28]) ).

tff(840,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(841,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(unit_resolution,[status(thm)],[840,28]) ).

tff(842,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(843,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[842,841]) ).

tff(844,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,843]) ).

tff(845,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[844,672,594]) ).

tff(846,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[845]) ).

tff(847,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(c3,a3),identity))))),
    inference(transitivity,[status(thm)],[846,670,667,649]) ).

tff(848,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(c3,a3),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[847]) ).

tff(849,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(850,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(unit_resolution,[status(thm)],[849,28]) ).

tff(851,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[850]) ).

tff(852,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(identity,double_divide(c3,a3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(853,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(identity,double_divide(c3,a3)),
    inference(unit_resolution,[status(thm)],[852,28]) ).

tff(854,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(855,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[854,853,594]) ).

tff(856,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,855]) ).

tff(857,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[856,670,667]) ).

tff(858,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[857]) ).

tff(859,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(identity,double_divide(c3,a3)),
    inference(transitivity,[status(thm)],[858,672]) ).

tff(860,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(monotonicity,[status(thm)],[859,567]) ).

tff(861,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(862,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(unit_resolution,[status(thm)],[861,28]) ).

tff(863,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[862]) ).

tff(864,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(c3,a3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(865,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(c3,a3)),
    inference(unit_resolution,[status(thm)],[864,28]) ).

tff(866,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(867,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[866,865,594]) ).

tff(868,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,867]) ).

tff(869,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[868,670,667]) ).

tff(870,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[869]) ).

tff(871,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(identity,double_divide(c3,a3)),
    inference(transitivity,[status(thm)],[870,672]) ).

tff(872,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(monotonicity,[status(thm)],[871,567]) ).

tff(873,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(874,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(unit_resolution,[status(thm)],[873,28]) ).

tff(875,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[874]) ).

tff(876,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(transitivity,[status(thm)],[424,416,566,564]) ).

tff(877,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(monotonicity,[status(thm)],[876]) ).

tff(878,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(c3,a3),
    inference(transitivity,[status(thm)],[877,628,557,555,553]) ).

tff(879,plain,
    double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)) = double_divide(double_divide(b3,a3),identity),
    inference(transitivity,[status(thm)],[335,221,178,175,88]) ).

tff(880,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),
    inference(monotonicity,[status(thm)],[879,878]) ).

tff(881,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(symmetry,[status(thm)],[880]) ).

tff(882,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[881]) ).

tff(883,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))) = inverse(double_divide(identity,double_divide(c3,a3))),
    inference(transitivity,[status(thm)],[882,875,872,639,636]) ).

tff(884,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(c3,a3)),inverse(double_divide(identity,double_divide(c3,a3)))),
    inference(monotonicity,[status(thm)],[883]) ).

tff(885,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[884,633,48,68,30,21]) ).

tff(886,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[383,885]) ).

tff(887,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[886]) ).

tff(888,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)) = double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[222,221,386,887]) ).

tff(889,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[888]) ).

tff(890,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[889,863,860]) ).

tff(891,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,890]) ).

tff(892,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))),
    inference(symmetry,[status(thm)],[891]) ).

tff(893,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))) = double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(c3,a3),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[649,444]) ).

tff(894,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))),
    inference(transitivity,[status(thm)],[893,630,758,892]) ).

tff(895,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(monotonicity,[status(thm)],[447,894]) ).

tff(896,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))),
    inference(symmetry,[status(thm)],[895]) ).

tff(897,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(898,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(unit_resolution,[status(thm)],[897,28]) ).

tff(899,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[391,94]) ).

tff(900,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[899,887]) ).

tff(901,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[900]) ).

tff(902,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(c3,a3),
    inference(transitivity,[status(thm)],[901,863,860,628,557,555,553]) ).

tff(903,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),
    inference(monotonicity,[status(thm)],[879,902]) ).

tff(904,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[903]) ).

tff(905,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(906,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),
    inference(unit_resolution,[status(thm)],[905,28]) ).

tff(907,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(908,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[907,906,904]) ).

tff(909,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,908]) ).

tff(910,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[909]) ).

tff(911,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(912,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),
    inference(unit_resolution,[status(thm)],[911,28]) ).

tff(913,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(914,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[913,912,904]) ).

tff(915,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,914]) ).

tff(916,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[915,910]) ).

tff(917,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[916]) ).

tff(918,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[917]) ).

tff(919,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[918]) ).

tff(920,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(921,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[920,28]) ).

tff(922,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[921]) ).

tff(923,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[904]) ).

tff(924,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))) = double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))),
    inference(transitivity,[status(thm)],[923,922,919,898,896]) ).

tff(925,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(monotonicity,[status(thm)],[924]) ).

tff(926,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[925,851,848,630,594]) ).

tff(927,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,926]) ).

tff(928,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[927]) ).

tff(929,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[667]) ).

tff(930,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(931,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(unit_resolution,[status(thm)],[930,28]) ).

tff(932,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(933,plain,
    identity = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(unit_resolution,[status(thm)],[932,17]) ).

tff(934,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = identity,
    inference(symmetry,[status(thm)],[933]) ).

tff(935,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(936,plain,
    inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),
    inference(unit_resolution,[status(thm)],[935,37]) ).

tff(937,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity) = inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),
    inference(symmetry,[status(thm)],[936]) ).

tff(938,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[69]) ).

tff(939,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),
    inference(symmetry,[status(thm)],[938]) ).

tff(940,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[906]) ).

tff(941,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)) = inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),
    inference(transitivity,[status(thm)],[940,939,937]) ).

tff(942,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(monotonicity,[status(thm)],[941]) ).

tff(943,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[942,934,48,68,30,21]) ).

tff(944,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[943]) ).

tff(945,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[944,931,929,669,928]) ).

tff(946,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(947,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),
    inference(unit_resolution,[status(thm)],[946,28]) ).

tff(948,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(949,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[948,28]) ).

tff(950,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[425]) ).

tff(951,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[950,906,881]) ).

tff(952,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[336,951]) ).

tff(953,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(c3,a3),
    inference(transitivity,[status(thm)],[952,875,872,628,557,555,553]) ).

tff(954,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),
    inference(monotonicity,[status(thm)],[213,953]) ).

tff(955,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(symmetry,[status(thm)],[954]) ).

tff(956,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[955,444]) ).

tff(957,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))) = double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))),
    inference(transitivity,[status(thm)],[956,949,922,919,898,896]) ).

tff(958,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(monotonicity,[status(thm)],[447,957]) ).

tff(959,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))),
    inference(symmetry,[status(thm)],[958]) ).

tff(960,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[444]) ).

tff(961,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))) = double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))),
    inference(transitivity,[status(thm)],[960,919,898,896]) ).

tff(962,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(monotonicity,[status(thm)],[447,961]) ).

tff(963,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))) = double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))),
    inference(transitivity,[status(thm)],[962,959]) ).

tff(964,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(monotonicity,[status(thm)],[963]) ).

tff(965,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[964]) ).

tff(966,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(967,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[966,28]) ).

tff(968,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[967]) ).

tff(969,plain,
    double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[42,910]) ).

tff(970,plain,
    double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),
    inference(transitivity,[status(thm)],[969,968,965,947]) ).

tff(971,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[970,945]) ).

tff(972,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[971]) ).

tff(973,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))) = double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(transitivity,[status(thm)],[942,934,566,564]) ).

tff(974,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(monotonicity,[status(thm)],[973]) ).

tff(975,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[974,929,669,928]) ).

tff(976,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[970,975]) ).

tff(977,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[976,972]) ).

tff(978,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[977]) ).

tff(979,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(symmetry,[status(thm)],[978]) ).

tff(980,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[979]) ).

tff(981,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(982,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(unit_resolution,[status(thm)],[981,28]) ).

tff(983,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[943]) ).

tff(984,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[983,982,929,669,928]) ).

tff(985,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[970,984]) ).

tff(986,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[985,972]) ).

tff(987,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[986]) ).

tff(988,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[987]) ).

tff(989,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(990,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(unit_resolution,[status(thm)],[989,28]) ).

tff(991,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[990]) ).

tff(992,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(c3,inverse(c3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(993,plain,
    identity = double_divide(c3,inverse(c3)),
    inference(unit_resolution,[status(thm)],[992,17]) ).

tff(994,plain,
    double_divide(c3,inverse(c3)) = identity,
    inference(symmetry,[status(thm)],[993]) ).

tff(995,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(c3) = double_divide(c3,identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(996,plain,
    inverse(c3) = double_divide(c3,identity),
    inference(unit_resolution,[status(thm)],[995,37]) ).

tff(997,plain,
    double_divide(c3,identity) = inverse(c3),
    inference(symmetry,[status(thm)],[996]) ).

tff(998,plain,
    identity = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))),
    inference(transitivity,[status(thm)],[48,68,30,21,499]) ).

tff(999,plain,
    double_divide(c3,identity) = double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),
    inference(monotonicity,[status(thm)],[998]) ).

tff(1000,plain,
    double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))) = double_divide(c3,identity),
    inference(symmetry,[status(thm)],[999]) ).

tff(1001,plain,
    double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))) = inverse(c3),
    inference(transitivity,[status(thm)],[1000,997]) ).

tff(1002,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))) = double_divide(c3,inverse(c3)),
    inference(monotonicity,[status(thm)],[500,1001]) ).

tff(1003,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[1002,994,48,68,30,21]) ).

tff(1004,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))) = double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(c3,a3),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[649,1003]) ).

tff(1005,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))),
    inference(transitivity,[status(thm)],[1004,630,758,837]) ).

tff(1006,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(monotonicity,[status(thm)],[793,1005]) ).

tff(1007,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))),
    inference(symmetry,[status(thm)],[1006]) ).

tff(1008,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1009,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(unit_resolution,[status(thm)],[1008,28]) ).

tff(1010,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1003]) ).

tff(1011,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))),
    inference(transitivity,[status(thm)],[1010,1009,1007]) ).

tff(1012,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(monotonicity,[status(thm)],[793,1011]) ).

tff(1013,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))),
    inference(transitivity,[status(thm)],[1012,991,988,980,839,758,837]) ).

tff(1014,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(monotonicity,[status(thm)],[1013]) ).

tff(1015,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1014]) ).

tff(1016,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1015]) ).

tff(1017,plain,
    a3 = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[73]) ).

tff(1018,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = a3 ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1019,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = a3,
    inference(unit_resolution,[status(thm)],[1018,28]) ).

tff(1020,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(1021,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1020,1019,1017,1016,815,802]) ).

tff(1022,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,1021]) ).

tff(1023,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[1022]) ).

tff(1024,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(1025,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1024,1016,815,802]) ).

tff(1026,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,1025]) ).

tff(1027,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1026,1023]) ).

tff(1028,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[1027]) ).

tff(1029,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(symmetry,[status(thm)],[1028]) ).

tff(1030,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1029]) ).

tff(1031,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1030]) ).

tff(1032,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1033,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(unit_resolution,[status(thm)],[1032,28]) ).

tff(1034,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1033]) ).

tff(1035,plain,
    a3 = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(transitivity,[status(thm)],[1017,1016,815]) ).

tff(1036,plain,
    double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1035,776]) ).

tff(1037,plain,
    double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[1036,1009,1034,1031,809,807]) ).

tff(1038,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[720,1037]) ).

tff(1039,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[1038,813]) ).

tff(1040,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[1039]) ).

tff(1041,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),
    inference(symmetry,[status(thm)],[1040]) ).

tff(1042,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1041]) ).

tff(1043,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1044,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[1043,28]) ).

tff(1045,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1044]) ).

tff(1046,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)) = a3 ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1047,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)) = a3,
    inference(unit_resolution,[status(thm)],[1046,28]) ).

tff(1048,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1049,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),
    inference(unit_resolution,[status(thm)],[1048,28]) ).

tff(1050,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(1051,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = identity,
    inference(transitivity,[status(thm)],[1050,1049,43]) ).

tff(1052,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[143,1051]) ).

tff(1053,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = identity,
    inference(transitivity,[status(thm)],[1052,20,101,67,49]) ).

tff(1054,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[43,1053]) ).

tff(1055,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = identity,
    inference(transitivity,[status(thm)],[1054,20,101,67,49]) ).

tff(1056,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[1055,112]) ).

tff(1057,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1058,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),
    inference(unit_resolution,[status(thm)],[1057,28]) ).

tff(1059,plain,
    double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1058]) ).

tff(1060,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[789,788,554,787,627]) ).

tff(1061,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[1060]) ).

tff(1062,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))),
    inference(transitivity,[status(thm)],[1061,837]) ).

tff(1063,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(monotonicity,[status(thm)],[793,1062]) ).

tff(1064,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3))),
    inference(symmetry,[status(thm)],[1063]) ).

tff(1065,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(identity,identity)) = a3 ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1066,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(identity,identity)) = a3,
    inference(unit_resolution,[status(thm)],[1065,28]) ).

tff(1067,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(1068,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1067,1066,1017,1016,815,802]) ).

tff(1069,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,1068]) ).

tff(1070,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1069,1023]) ).

tff(1071,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[1070]) ).

tff(1072,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1071]) ).

tff(1073,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1074,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),
    inference(unit_resolution,[status(thm)],[1073,28]) ).

tff(1075,plain,
    double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1074]) ).

tff(1076,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),inverse(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1077,plain,
    identity = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),inverse(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))),
    inference(unit_resolution,[status(thm)],[1076,17]) ).

tff(1078,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),inverse(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))) = identity,
    inference(symmetry,[status(thm)],[1077]) ).

tff(1079,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1080,plain,
    inverse(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),identity),
    inference(unit_resolution,[status(thm)],[1079,37]) ).

tff(1081,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),identity) = inverse(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))),
    inference(symmetry,[status(thm)],[1080]) ).

tff(1082,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),identity) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[69]) ).

tff(1083,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),identity),
    inference(symmetry,[status(thm)],[1082]) ).

tff(1084,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1085,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),
    inference(unit_resolution,[status(thm)],[1084,28]) ).

tff(1086,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1085]) ).

tff(1087,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1088,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),
    inference(unit_resolution,[status(thm)],[1087,28]) ).

tff(1089,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1090,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(unit_resolution,[status(thm)],[1089,28]) ).

tff(1091,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(1092,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(transitivity,[status(thm)],[1091,1090]) ).

tff(1093,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(monotonicity,[status(thm)],[143,1092]) ).

tff(1094,plain,
    double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[1093]) ).

tff(1095,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))))),double_divide(identity,identity)) = double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1096,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))))),double_divide(identity,identity)) = double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(unit_resolution,[status(thm)],[1095,28]) ).

tff(1097,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),inverse(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1098,plain,
    identity = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),inverse(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),
    inference(unit_resolution,[status(thm)],[1097,17]) ).

tff(1099,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),inverse(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))) = identity,
    inference(symmetry,[status(thm)],[1098]) ).

tff(1100,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1101,plain,
    inverse(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),identity),
    inference(unit_resolution,[status(thm)],[1100,37]) ).

tff(1102,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),identity) = inverse(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))))),
    inference(symmetry,[status(thm)],[1101]) ).

tff(1103,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),identity) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[69]) ).

tff(1104,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),identity),
    inference(symmetry,[status(thm)],[1103]) ).

tff(1105,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1106,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[1105,28]) ).

tff(1107,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1106]) ).

tff(1108,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[1094]) ).

tff(1109,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = inverse(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))))),
    inference(transitivity,[status(thm)],[1108,1107,1104,1102]) ).

tff(1110,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),inverse(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),
    inference(monotonicity,[status(thm)],[1109]) ).

tff(1111,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = identity,
    inference(transitivity,[status(thm)],[1110,1099]) ).

tff(1112,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[143,1111]) ).

tff(1113,plain,
    double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(symmetry,[status(thm)],[1112]) ).

tff(1114,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),inverse(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1115,plain,
    identity = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),inverse(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(unit_resolution,[status(thm)],[1114,17]) ).

tff(1116,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),inverse(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = identity,
    inference(symmetry,[status(thm)],[1115]) ).

tff(1117,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1118,plain,
    inverse(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),
    inference(unit_resolution,[status(thm)],[1117,37]) ).

tff(1119,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity) = inverse(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(symmetry,[status(thm)],[1118]) ).

tff(1120,plain,
    identity = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[48,68,30,21,1113]) ).

tff(1121,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1120]) ).

tff(1122,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),
    inference(symmetry,[status(thm)],[1121]) ).

tff(1123,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),inverse(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1124,plain,
    identity = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),inverse(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(unit_resolution,[status(thm)],[1123,17]) ).

tff(1125,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),inverse(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = identity,
    inference(symmetry,[status(thm)],[1124]) ).

tff(1126,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1127,plain,
    inverse(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),
    inference(unit_resolution,[status(thm)],[1126,37]) ).

tff(1128,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity) = inverse(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[1127]) ).

tff(1129,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity)) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),inverse(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[1128]) ).

tff(1130,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity)) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[1129,1125,48,68,30,21,1113]) ).

tff(1131,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1130]) ).

tff(1132,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))) = inverse(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(transitivity,[status(thm)],[1131,1122,1119]) ).

tff(1133,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity)))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),inverse(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(monotonicity,[status(thm)],[1132]) ).

tff(1134,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity)))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[1133,1116,48,68,30,21,1113]) ).

tff(1135,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1136,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(unit_resolution,[status(thm)],[1135,28]) ).

tff(1137,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),
    inference(monotonicity,[status(thm)],[43]) ).

tff(1138,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = inverse(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[1137,1128]) ).

tff(1139,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),inverse(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[1138]) ).

tff(1140,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[1139,1125,48,68,30,21,1113]) ).

tff(1141,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1140]) ).

tff(1142,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[1141]) ).

tff(1143,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[102,1113]) ).

tff(1144,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1143]) ).

tff(1145,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1144,1142]) ).

tff(1146,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,1145]) ).

tff(1147,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[1146]) ).

tff(1148,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1149,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[1148,28]) ).

tff(1150,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1151,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(unit_resolution,[status(thm)],[1150,28]) ).

tff(1152,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(1153,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(transitivity,[status(thm)],[1152,1151]) ).

tff(1154,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(monotonicity,[status(thm)],[143,1153]) ).

tff(1155,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1154,1094]) ).

tff(1156,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[1155]) ).

tff(1157,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1156]) ).

tff(1158,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1157]) ).

tff(1159,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1160,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),
    inference(unit_resolution,[status(thm)],[1159,28]) ).

tff(1161,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(1162,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = identity,
    inference(transitivity,[status(thm)],[1161,1160,378,375,20,101,67,49]) ).

tff(1163,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[143,1162]) ).

tff(1164,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = identity,
    inference(transitivity,[status(thm)],[1163,20,101,67,49]) ).

tff(1165,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[43,1164]) ).

tff(1166,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = identity,
    inference(transitivity,[status(thm)],[1165,20,101,67,49]) ).

tff(1167,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[1166,112]) ).

tff(1168,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1169,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))))),
    inference(unit_resolution,[status(thm)],[1168,28]) ).

tff(1170,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1169]) ).

tff(1171,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity)) = identity,
    inference(transitivity,[status(thm)],[1129,1125]) ).

tff(1172,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))) = identity,
    inference(transitivity,[status(thm)],[378,375,20,101,67,49]) ).

tff(1173,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[1172,1171]) ).

tff(1174,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[1173,1113]) ).

tff(1175,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity)))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1174]) ).

tff(1176,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity)))),
    inference(symmetry,[status(thm)],[1175]) ).

tff(1177,plain,
    double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[43,48,68,30,21,1113]) ).

tff(1178,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1177]) ).

tff(1179,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity)))),
    inference(transitivity,[status(thm)],[1178,1176]) ).

tff(1180,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))))),
    inference(monotonicity,[status(thm)],[1179]) ).

tff(1181,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[1180,1170,1167]) ).

tff(1182,plain,
    double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[42,1094]) ).

tff(1183,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1182,1181]) ).

tff(1184,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1183,1158,1149,1147]) ).

tff(1185,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[1184]) ).

tff(1186,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1185]) ).

tff(1187,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1188,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),
    inference(unit_resolution,[status(thm)],[1187,28]) ).

tff(1189,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1188]) ).

tff(1190,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity) = double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[1189,1186,1136]) ).

tff(1191,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1190,1134]) ).

tff(1192,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))))),
    inference(symmetry,[status(thm)],[1191]) ).

tff(1193,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1192]) ).

tff(1194,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1195,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),
    inference(unit_resolution,[status(thm)],[1194,28]) ).

tff(1196,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1195]) ).

tff(1197,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1198,plain,
    identity = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(unit_resolution,[status(thm)],[1197,17]) ).

tff(1199,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = identity,
    inference(symmetry,[status(thm)],[1198]) ).

tff(1200,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1201,plain,
    inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),
    inference(unit_resolution,[status(thm)],[1200,37]) ).

tff(1202,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity) = inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),
    inference(symmetry,[status(thm)],[1201]) ).

tff(1203,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[69]) ).

tff(1204,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),
    inference(symmetry,[status(thm)],[1203]) ).

tff(1205,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1206,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(unit_resolution,[status(thm)],[1205,28]) ).

tff(1207,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(1208,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(transitivity,[status(thm)],[1207,1206]) ).

tff(1209,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(monotonicity,[status(thm)],[143,1208]) ).

tff(1210,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1209,1094]) ).

tff(1211,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[1210]) ).

tff(1212,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1211]) ).

tff(1213,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,a3),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1214,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,a3),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),
    inference(unit_resolution,[status(thm)],[1213,28]) ).

tff(1215,plain,
    double_divide(double_divide(c3,a3),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1214]) ).

tff(1216,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))) = double_divide(double_divide(c3,a3),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),
    inference(monotonicity,[status(thm)],[619]) ).

tff(1217,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))) = inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),
    inference(transitivity,[status(thm)],[1216,1215,1212,1204,1202]) ).

tff(1218,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(monotonicity,[status(thm)],[1217]) ).

tff(1219,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) = double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(transitivity,[status(thm)],[1218,1199,566,564]) ).

tff(1220,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(monotonicity,[status(thm)],[644,1219]) ).

tff(1221,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),
    inference(symmetry,[status(thm)],[1220]) ).

tff(1222,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),
    inference(transitivity,[status(thm)],[728,670,667,1221]) ).

tff(1223,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),
    inference(monotonicity,[status(thm)],[1222]) ).

tff(1224,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1223,1196,1193,1096,1094]) ).

tff(1225,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,1224]) ).

tff(1226,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[1225]) ).

tff(1227,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),inverse(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1228,plain,
    identity = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),inverse(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))))),
    inference(unit_resolution,[status(thm)],[1227,17]) ).

tff(1229,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),inverse(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))))) = identity,
    inference(symmetry,[status(thm)],[1228]) ).

tff(1230,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1231,plain,
    inverse(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),identity),
    inference(unit_resolution,[status(thm)],[1230,37]) ).

tff(1232,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),identity) = inverse(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(symmetry,[status(thm)],[1231]) ).

tff(1233,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),identity) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[69]) ).

tff(1234,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),identity),
    inference(symmetry,[status(thm)],[1233]) ).

tff(1235,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1236,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(unit_resolution,[status(thm)],[1235,28]) ).

tff(1237,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1236]) ).

tff(1238,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1239,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(unit_resolution,[status(thm)],[1238,28]) ).

tff(1240,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))) = double_divide(double_divide(c3,a3),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),
    inference(monotonicity,[status(thm)],[671]) ).

tff(1241,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))) = inverse(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(transitivity,[status(thm)],[1240,1215,1212,1239,1237,1234,1232]) ).

tff(1242,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),inverse(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))))),
    inference(monotonicity,[status(thm)],[1241]) ).

tff(1243,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) = double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(transitivity,[status(thm)],[1242,1229,566,564]) ).

tff(1244,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(monotonicity,[status(thm)],[720,1243]) ).

tff(1245,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),
    inference(transitivity,[status(thm)],[1244,1221]) ).

tff(1246,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),
    inference(monotonicity,[status(thm)],[1245]) ).

tff(1247,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1246]) ).

tff(1248,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1249,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(unit_resolution,[status(thm)],[1248,28]) ).

tff(1250,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1249]) ).

tff(1251,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[660]) ).

tff(1252,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(transitivity,[status(thm)],[1251,1090]) ).

tff(1253,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(monotonicity,[status(thm)],[712,1252]) ).

tff(1254,plain,
    double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(symmetry,[status(thm)],[1253]) ).

tff(1255,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(1256,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),
    inference(symmetry,[status(thm)],[1255]) ).

tff(1257,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1239]) ).

tff(1258,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),
    inference(transitivity,[status(thm)],[1257,1256]) ).

tff(1259,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity),
    inference(monotonicity,[status(thm)],[1258,112]) ).

tff(1260,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1259]) ).

tff(1261,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
    | ( multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1262,plain,
    multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity),
    inference(unit_resolution,[status(thm)],[1261,7]) ).

tff(1263,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1193]) ).

tff(1264,plain,
    double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),identity))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1096]) ).

tff(1265,plain,
    double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[1264,1263,1195]) ).

tff(1266,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1265,1112]) ).

tff(1267,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(symmetry,[status(thm)],[1266]) ).

tff(1268,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(transitivity,[status(thm)],[1107,1267]) ).

tff(1269,plain,
    multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),
    inference(monotonicity,[status(thm)],[1268]) ).

tff(1270,plain,
    multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))) = multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),
    inference(symmetry,[status(thm)],[1269]) ).

tff(1271,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
    | ( multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1272,plain,
    multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity),
    inference(unit_resolution,[status(thm)],[1271,7]) ).

tff(1273,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity) = multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),
    inference(symmetry,[status(thm)],[1272]) ).

tff(1274,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(1275,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[1274,1195]) ).

tff(1276,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1275,69]) ).

tff(1277,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity),
    inference(symmetry,[status(thm)],[1276]) ).

tff(1278,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(transitivity,[status(thm)],[1107,1277,1273,1270,1262,1260,1090]) ).

tff(1279,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(monotonicity,[status(thm)],[671,1278]) ).

tff(1280,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(transitivity,[status(thm)],[1279,1254]) ).

tff(1281,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(monotonicity,[status(thm)],[1280]) ).

tff(1282,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[1281,1250,1247,1106,1226]) ).

tff(1283,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[720,1282]) ).

tff(1284,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(symmetry,[status(thm)],[1283]) ).

tff(1285,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1286,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(unit_resolution,[status(thm)],[1285,28]) ).

tff(1287,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = inverse(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))))),
    inference(transitivity,[status(thm)],[1107,1104,1102]) ).

tff(1288,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),inverse(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),
    inference(monotonicity,[status(thm)],[1265,1287]) ).

tff(1289,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[1288,1099,48,68,30,21]) ).

tff(1290,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1289]) ).

tff(1291,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[1290,1286,1284]) ).

tff(1292,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[1182,1291]) ).

tff(1293,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(symmetry,[status(thm)],[1292]) ).

tff(1294,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1295,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(unit_resolution,[status(thm)],[1294,28]) ).

tff(1296,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1297,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(unit_resolution,[status(thm)],[1296,28]) ).

tff(1298,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(1299,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1298,1297]) ).

tff(1300,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,1299]) ).

tff(1301,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1300,672,594]) ).

tff(1302,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[1301]) ).

tff(1303,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(c3,a3),identity))))),
    inference(transitivity,[status(thm)],[1302,670,667,649]) ).

tff(1304,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(c3,a3),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1303]) ).

tff(1305,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(c3,a3),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1304]) ).

tff(1306,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1307,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),
    inference(unit_resolution,[status(thm)],[1306,28]) ).

tff(1308,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(1309,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = identity,
    inference(transitivity,[status(thm)],[1308,1307,43]) ).

tff(1310,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[143,1309]) ).

tff(1311,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = identity,
    inference(transitivity,[status(thm)],[1310,20,101,67,49]) ).

tff(1312,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[43,1311]) ).

tff(1313,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = identity,
    inference(transitivity,[status(thm)],[1312,20,101,67,49]) ).

tff(1314,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[1313,112]) ).

tff(1315,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1316,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),
    inference(unit_resolution,[status(thm)],[1315,28]) ).

tff(1317,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1316]) ).

tff(1318,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1178,69]) ).

tff(1319,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
    | ( multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1320,plain,
    multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity),
    inference(unit_resolution,[status(thm)],[1319,7]) ).

tff(1321,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))) = double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[1196,1193,1096]) ).

tff(1322,plain,
    multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))))) = multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[1321]) ).

tff(1323,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
    | ( multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1324,plain,
    multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity),
    inference(unit_resolution,[status(thm)],[1323,7]) ).

tff(1325,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity) = multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))))),
    inference(symmetry,[status(thm)],[1324]) ).

tff(1326,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(1327,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),
    inference(symmetry,[status(thm)],[1326]) ).

tff(1328,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),
    inference(transitivity,[status(thm)],[1107,1327]) ).

tff(1329,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity),
    inference(monotonicity,[status(thm)],[1328,112]) ).

tff(1330,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1240,1215,1212,1329,1325,1322,1320,1318,1193,1096,1094]) ).

tff(1331,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[1330]) ).

tff(1332,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[1331,1226]) ).

tff(1333,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[720,1332]) ).

tff(1334,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),
    inference(symmetry,[status(thm)],[1333]) ).

tff(1335,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[1226]) ).

tff(1336,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),
    inference(transitivity,[status(thm)],[1335,1334]) ).

tff(1337,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),
    inference(monotonicity,[status(thm)],[1336]) ).

tff(1338,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[1337,1317,1314]) ).

tff(1339,plain,
    double_divide(identity,double_divide(identity,double_divide(c3,a3))) = double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(c3,a3),identity))))),
    inference(transitivity,[status(thm)],[595,670,667,649]) ).

tff(1340,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(c3,a3),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1339,1338]) ).

tff(1341,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[1340,1305,1295,1293]) ).

tff(1342,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[1341]) ).

tff(1343,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(symmetry,[status(thm)],[1342]) ).

tff(1344,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1343]) ).

tff(1345,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1346,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(unit_resolution,[status(thm)],[1345,28]) ).

tff(1347,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1346]) ).

tff(1348,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[660]) ).

tff(1349,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),
    inference(transitivity,[status(thm)],[1348,1085]) ).

tff(1350,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(c3,a3),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),
    inference(monotonicity,[status(thm)],[712,1349]) ).

tff(1351,plain,
    double_divide(double_divide(c3,a3),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(symmetry,[status(thm)],[1350]) ).

tff(1352,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1212]) ).

tff(1353,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1329]) ).

tff(1354,plain,
    multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))))),
    inference(symmetry,[status(thm)],[1322]) ).

tff(1355,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity) = multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(symmetry,[status(thm)],[1320]) ).

tff(1356,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity),
    inference(symmetry,[status(thm)],[1318]) ).

tff(1357,plain,
    double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(transitivity,[status(thm)],[1264,1263,1356,1355,1354,1324,1353,1352,1214,1351]) ).

tff(1358,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(monotonicity,[status(thm)],[1357]) ).

tff(1359,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = inverse(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))),
    inference(transitivity,[status(thm)],[1358,1347,1344,1088,1086,1083,1081]) ).

tff(1360,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),inverse(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))),
    inference(monotonicity,[status(thm)],[1359]) ).

tff(1361,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(transitivity,[status(thm)],[1360,1078,566,564]) ).

tff(1362,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(monotonicity,[status(thm)],[720,1361]) ).

tff(1363,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(symmetry,[status(thm)],[1362]) ).

tff(1364,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(identity,identity)) = double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1365,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(identity,identity)) = double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),
    inference(unit_resolution,[status(thm)],[1364,28]) ).

tff(1366,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[536]) ).

tff(1367,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = inverse(c3),
    inference(transitivity,[status(thm)],[1366,1365,1000,997]) ).

tff(1368,plain,
    double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(c3,inverse(c3)),
    inference(monotonicity,[status(thm)],[549,1367]) ).

tff(1369,plain,
    double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[1368,994,48,68,30,21]) ).

tff(1370,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1369]) ).

tff(1371,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),
    inference(transitivity,[status(thm)],[1370,501]) ).

tff(1372,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1371]) ).

tff(1373,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1374,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),
    inference(unit_resolution,[status(thm)],[1373,28]) ).

tff(1375,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1374]) ).

tff(1376,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = inverse(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(transitivity,[status(thm)],[1122,1119]) ).

tff(1377,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),inverse(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(monotonicity,[status(thm)],[1376]) ).

tff(1378,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[1377,1116,48,68,30,21]) ).

tff(1379,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1378]) ).

tff(1380,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[1379,348]) ).

tff(1381,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1380]) ).

tff(1382,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))))),
    inference(symmetry,[status(thm)],[1381]) ).

tff(1383,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),
    inference(monotonicity,[status(thm)],[1268,1382]) ).

tff(1384,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3))),
    inference(transitivity,[status(thm)],[1383,1375,1372,795]) ).

tff(1385,plain,
    double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))) = double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),
    inference(monotonicity,[status(thm)],[1384]) ).

tff(1386,plain,
    double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[1385,786,783,1363]) ).

tff(1387,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1149]) ).

tff(1388,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(1389,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1388,1136,1094]) ).

tff(1390,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,1389]) ).

tff(1391,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1390,1107,1267,1142]) ).

tff(1392,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[1391]) ).

tff(1393,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[1390]) ).

tff(1394,plain,
    double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[42,1393]) ).

tff(1395,plain,
    double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[1394,1392,1387,1157,1329,1325,1322,1320,1318,1193,1096]) ).

tff(1396,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1395,1386]) ).

tff(1397,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))))),
    inference(symmetry,[status(thm)],[1396]) ).

tff(1398,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1399,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(unit_resolution,[status(thm)],[1398,28]) ).

tff(1400,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),inverse(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1401,plain,
    identity = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),inverse(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))),
    inference(unit_resolution,[status(thm)],[1400,17]) ).

tff(1402,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),inverse(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))) = identity,
    inference(symmetry,[status(thm)],[1401]) ).

tff(1403,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1404,plain,
    inverse(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),identity),
    inference(unit_resolution,[status(thm)],[1403,37]) ).

tff(1405,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),identity) = inverse(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),
    inference(symmetry,[status(thm)],[1404]) ).

tff(1406,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),identity) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[69]) ).

tff(1407,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),identity),
    inference(symmetry,[status(thm)],[1406]) ).

tff(1408,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1409,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),
    inference(unit_resolution,[status(thm)],[1408,28]) ).

tff(1410,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1409]) ).

tff(1411,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = inverse(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),
    inference(transitivity,[status(thm)],[1274,1195,1410,1407,1405]) ).

tff(1412,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),inverse(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))),
    inference(monotonicity,[status(thm)],[1411]) ).

tff(1413,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[1412,1402,48,68,30,21]) ).

tff(1414,plain,
    double_divide(identity,double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[42,1142]) ).

tff(1415,plain,
    double_divide(identity,double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[1414,1387,1157,1239]) ).

tff(1416,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1415,1413]) ).

tff(1417,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(transitivity,[status(thm)],[1416,1090]) ).

tff(1418,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(monotonicity,[status(thm)],[43,1417]) ).

tff(1419,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1418,1113]) ).

tff(1420,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1421,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(unit_resolution,[status(thm)],[1420,28]) ).

tff(1422,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1421]) ).

tff(1423,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(monotonicity,[status(thm)],[1254]) ).

tff(1424,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = inverse(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))))),
    inference(transitivity,[status(thm)],[1423,1250,1247,1104,1102]) ).

tff(1425,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),inverse(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),
    inference(monotonicity,[status(thm)],[1424]) ).

tff(1426,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(transitivity,[status(thm)],[1425,1099,566,564]) ).

tff(1427,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(monotonicity,[status(thm)],[720,1426]) ).

tff(1428,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(symmetry,[status(thm)],[1427]) ).

tff(1429,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[715,708,705,1428]) ).

tff(1430,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))) = double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1429]) ).

tff(1431,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[1430,1422,1419,1266,1106,1226]) ).

tff(1432,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[720,1431]) ).

tff(1433,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[1432]) ).

tff(1434,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1435,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(unit_resolution,[status(thm)],[1434,28]) ).

tff(1436,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),inverse(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1437,plain,
    identity = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),inverse(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),
    inference(unit_resolution,[status(thm)],[1436,17]) ).

tff(1438,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),inverse(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))) = identity,
    inference(symmetry,[status(thm)],[1437]) ).

tff(1439,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1440,plain,
    inverse(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),identity),
    inference(unit_resolution,[status(thm)],[1439,37]) ).

tff(1441,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),identity) = inverse(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),
    inference(symmetry,[status(thm)],[1440]) ).

tff(1442,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),identity) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[69]) ).

tff(1443,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),identity),
    inference(symmetry,[status(thm)],[1442]) ).

tff(1444,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(c3,a3),double_divide(c3,a3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1445,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(c3,a3),double_divide(c3,a3)),
    inference(unit_resolution,[status(thm)],[1444,28]) ).

tff(1446,plain,
    double_divide(double_divide(c3,a3),double_divide(c3,a3)) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1445]) ).

tff(1447,plain,
    double_divide(double_divide(c3,a3),double_divide(c3,a3)) = inverse(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),
    inference(transitivity,[status(thm)],[1446,1443,1441]) ).

tff(1448,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),inverse(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),
    inference(monotonicity,[status(thm)],[1447]) ).

tff(1449,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[1448,1438,48,68,30,21]) ).

tff(1450,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1449]) ).

tff(1451,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[1450,1435,1433]) ).

tff(1452,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,a3),double_divide(c3,a3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1453,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,a3),double_divide(c3,a3)),
    inference(unit_resolution,[status(thm)],[1452,28]) ).

tff(1454,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(1455,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1454,735,741]) ).

tff(1456,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,1455]) ).

tff(1457,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[1456]) ).

tff(1458,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(1459,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1458,1445,727]) ).

tff(1460,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,1459]) ).

tff(1461,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1460,741]) ).

tff(1462,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[1461]) ).

tff(1463,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(symmetry,[status(thm)],[1462]) ).

tff(1464,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1463]) ).

tff(1465,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1464]) ).

tff(1466,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1467,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),
    inference(unit_resolution,[status(thm)],[1466,28]) ).

tff(1468,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1467]) ).

tff(1469,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[715,708,705,722]) ).

tff(1470,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))) = double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[1469]) ).

tff(1471,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))) = inverse(double_divide(identity,double_divide(c3,a3))),
    inference(transitivity,[status(thm)],[1470,696,693,639,636]) ).

tff(1472,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),inverse(double_divide(identity,double_divide(c3,a3)))),
    inference(monotonicity,[status(thm)],[720,1471]) ).

tff(1473,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),inverse(double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[1472]) ).

tff(1474,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[102,20,101,67,49,632,1473]) ).

tff(1475,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[1474]) ).

tff(1476,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1475,1468,1465,735,741]) ).

tff(1477,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,1476]) ).

tff(1478,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1477,1457]) ).

tff(1479,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[1478]) ).

tff(1480,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(symmetry,[status(thm)],[1479]) ).

tff(1481,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1480]) ).

tff(1482,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1483,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[1482,28]) ).

tff(1484,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1483]) ).

tff(1485,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1468,1465,735,741]) ).

tff(1486,plain,
    double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[42,1485]) ).

tff(1487,plain,
    double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))) = double_divide(double_divide(c3,a3),double_divide(c3,a3)),
    inference(transitivity,[status(thm)],[1486,1484,1481,1453]) ).

tff(1488,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[1487,1451]) ).

tff(1489,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[1488]) ).

tff(1490,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1344]) ).

tff(1491,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1088]) ).

tff(1492,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[1491,1490,1346]) ).

tff(1493,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1492,1449]) ).

tff(1494,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[1493,1286,1433]) ).

tff(1495,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[1487,1494]) ).

tff(1496,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[1495,1489]) ).

tff(1497,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[1496]) ).

tff(1498,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),
    inference(symmetry,[status(thm)],[1497]) ).

tff(1499,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1498]) ).

tff(1500,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1499]) ).

tff(1501,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1502,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),
    inference(unit_resolution,[status(thm)],[1501,28]) ).

tff(1503,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1502]) ).

tff(1504,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))))),
    inference(transitivity,[status(thm)],[1503,1500,1399,1397]) ).

tff(1505,plain,
    double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),
    inference(monotonicity,[status(thm)],[1504]) ).

tff(1506,plain,
    double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3))),
    inference(transitivity,[status(thm)],[1505,1075,1072,1030,1033,1064]) ).

tff(1507,plain,
    double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) = double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),
    inference(monotonicity,[status(thm)],[1506]) ).

tff(1508,plain,
    double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[1507,1059,1056]) ).

tff(1509,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))),double_divide(identity,identity)) = double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1510,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))),double_divide(identity,identity)) = double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),
    inference(unit_resolution,[status(thm)],[1509,28]) ).

tff(1511,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(1512,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1511,1510,533,522,546]) ).

tff(1513,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,1512]) ).

tff(1514,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1513,545,355]) ).

tff(1515,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[1514]) ).

tff(1516,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),
    inference(transitivity,[status(thm)],[1515,523,520]) ).

tff(1517,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1516]) ).

tff(1518,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1519,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))),
    inference(unit_resolution,[status(thm)],[1518,28]) ).

tff(1520,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1519]) ).

tff(1521,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = inverse(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),
    inference(transitivity,[status(thm)],[349,346,344]) ).

tff(1522,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),inverse(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))),
    inference(monotonicity,[status(thm)],[1521]) ).

tff(1523,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[1522,341,48,68,30,21,1113]) ).

tff(1524,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1523]) ).

tff(1525,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),
    inference(symmetry,[status(thm)],[1524]) ).

tff(1526,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),
    inference(transitivity,[status(thm)],[1178,1525]) ).

tff(1527,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))),
    inference(monotonicity,[status(thm)],[1526]) ).

tff(1528,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[1527,1520,1517,348]) ).

tff(1529,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1528]) ).

tff(1530,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[1529]) ).

tff(1531,plain,
    double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[42,1530]) ).

tff(1532,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1531,1508]) ).

tff(1533,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),
    inference(symmetry,[status(thm)],[1532]) ).

tff(1534,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1535,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(unit_resolution,[status(thm)],[1534,28]) ).

tff(1536,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1537,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(unit_resolution,[status(thm)],[1536,28]) ).

tff(1538,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1289]) ).

tff(1539,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(transitivity,[status(thm)],[1538,1537]) ).

tff(1540,plain,
    double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(transitivity,[status(thm)],[1182,1107,1277,1273,1270,1262,1260,1090]) ).

tff(1541,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(monotonicity,[status(thm)],[1540,1539]) ).

tff(1542,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(symmetry,[status(thm)],[1182]) ).

tff(1543,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1542,1541]) ).

tff(1544,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(symmetry,[status(thm)],[1543]) ).

tff(1545,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1546,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(unit_resolution,[status(thm)],[1545,28]) ).

tff(1547,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[832,545,460,457,831,828,825,822,820,348]) ).

tff(1548,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1542,1547]) ).

tff(1549,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1548,1530]) ).

tff(1550,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,1549]) ).

tff(1551,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))),
    inference(symmetry,[status(thm)],[1550]) ).

tff(1552,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1553,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[1552,28]) ).

tff(1554,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1003]) ).

tff(1555,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))),
    inference(transitivity,[status(thm)],[1554,1553,1551]) ).

tff(1556,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(monotonicity,[status(thm)],[793,1555]) ).

tff(1557,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))),
    inference(symmetry,[status(thm)],[1556]) ).

tff(1558,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1559,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[1558,28]) ).

tff(1560,plain,
    double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1544,1003]) ).

tff(1561,plain,
    double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))),
    inference(transitivity,[status(thm)],[1560,1559,1551]) ).

tff(1562,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(monotonicity,[status(thm)],[793,1561]) ).

tff(1563,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))),
    inference(transitivity,[status(thm)],[1562,1557]) ).

tff(1564,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(monotonicity,[status(thm)],[1563]) ).

tff(1565,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(symmetry,[status(thm)],[1564]) ).

tff(1566,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1565]) ).

tff(1567,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1289]) ).

tff(1568,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))))),
    inference(transitivity,[status(thm)],[1567,1566,1546,1382]) ).

tff(1569,plain,
    double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(transitivity,[status(thm)],[1182,1107,1267]) ).

tff(1570,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),
    inference(monotonicity,[status(thm)],[1569,1568]) ).

tff(1571,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[1570,1375,1372,348]) ).

tff(1572,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1542,1571]) ).

tff(1573,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(transitivity,[status(thm)],[1572,1544]) ).

tff(1574,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1573]) ).

tff(1575,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1574]) ).

tff(1576,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1559]) ).

tff(1577,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(transitivity,[status(thm)],[1576,1575,1535]) ).

tff(1578,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1577]) ).

tff(1579,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1578]) ).

tff(1580,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1566]) ).

tff(1581,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1546]) ).

tff(1582,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1583,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(unit_resolution,[status(thm)],[1582,28]) ).

tff(1584,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))) = inverse(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))),
    inference(transitivity,[status(thm)],[1086,1083,1081]) ).

tff(1585,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),inverse(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))),
    inference(monotonicity,[status(thm)],[1584]) ).

tff(1586,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[1585,1078,48,68,30,21]) ).

tff(1587,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1586]) ).

tff(1588,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),
    inference(transitivity,[status(thm)],[1587,1583,1581,1580,1579,1533]) ).

tff(1589,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[660]) ).

tff(1590,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),
    inference(transitivity,[status(thm)],[1589,1344,1088]) ).

tff(1591,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(c3,a3),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),
    inference(monotonicity,[status(thm)],[712,1590]) ).

tff(1592,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(transitivity,[status(thm)],[1591,1351]) ).

tff(1593,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(monotonicity,[status(thm)],[1592]) ).

tff(1594,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1593]) ).

tff(1595,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1596,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(unit_resolution,[status(thm)],[1595,28]) ).

tff(1597,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1596]) ).

tff(1598,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1599,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(unit_resolution,[status(thm)],[1598,28]) ).

tff(1600,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1449]) ).

tff(1601,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[1600,1599,1597,1594,1286,1433]) ).

tff(1602,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[1487,1601]) ).

tff(1603,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[1602,1489]) ).

tff(1604,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[1603]) ).

tff(1605,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1604]) ).

tff(1606,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1607,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[1606,28]) ).

tff(1608,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1607]) ).

tff(1609,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),
    inference(transitivity,[status(thm)],[587,1221]) ).

tff(1610,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),
    inference(monotonicity,[status(thm)],[1609]) ).

tff(1611,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(transitivity,[status(thm)],[1610,1196,1356,1355,1354,1324,1353,1352,1214,1351]) ).

tff(1612,plain,
    double_divide(identity,double_divide(identity,double_divide(c3,a3))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[595,670,667]) ).

tff(1613,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(monotonicity,[status(thm)],[1612,1611]) ).

tff(1614,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[1613]) ).

tff(1615,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(1616,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1615,1346,1614]) ).

tff(1617,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,1616]) ).

tff(1618,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[1617]) ).

tff(1619,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1620,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[1619,28]) ).

tff(1621,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1622,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),
    inference(unit_resolution,[status(thm)],[1621,28]) ).

tff(1623,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[660]) ).

tff(1624,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),
    inference(transitivity,[status(thm)],[1623,1622]) ).

tff(1625,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(c3,a3),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),
    inference(monotonicity,[status(thm)],[712,1624]) ).

tff(1626,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(transitivity,[status(thm)],[1625,1351]) ).

tff(1627,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(monotonicity,[status(thm)],[1626]) ).

tff(1628,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1627]) ).

tff(1629,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1628]) ).

tff(1630,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1286]) ).

tff(1631,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1630,1629,1620,1618]) ).

tff(1632,plain,
    double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[42,1631]) ).

tff(1633,plain,
    double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),
    inference(transitivity,[status(thm)],[1632,1608,1605,1499,1502]) ).

tff(1634,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),
    inference(monotonicity,[status(thm)],[1633,1588]) ).

tff(1635,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),
    inference(symmetry,[status(thm)],[1634]) ).

tff(1636,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1637,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),
    inference(unit_resolution,[status(thm)],[1636,28]) ).

tff(1638,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(identity,identity)) = a3 ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1639,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(identity,identity)) = a3,
    inference(unit_resolution,[status(thm)],[1638,28]) ).

tff(1640,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(1641,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1640,1639,1017,1016,815,802]) ).

tff(1642,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,1641]) ).

tff(1643,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1642,1023]) ).

tff(1644,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[1643]) ).

tff(1645,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1644]) ).

tff(1646,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1647,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(unit_resolution,[status(thm)],[1646,28]) ).

tff(1648,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1647]) ).

tff(1649,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1650,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),
    inference(unit_resolution,[status(thm)],[1649,28]) ).

tff(1651,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[536]) ).

tff(1652,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = inverse(c3),
    inference(transitivity,[status(thm)],[1651,1650,1000,997]) ).

tff(1653,plain,
    double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(c3,inverse(c3)),
    inference(monotonicity,[status(thm)],[549,1652]) ).

tff(1654,plain,
    double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[1653,994,48,68,30,21]) ).

tff(1655,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1654]) ).

tff(1656,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),
    inference(transitivity,[status(thm)],[1655,501]) ).

tff(1657,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1656]) ).

tff(1658,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1659,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(unit_resolution,[status(thm)],[1658,28]) ).

tff(1660,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1659]) ).

tff(1661,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[910]) ).

tff(1662,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),
    inference(transitivity,[status(thm)],[1661,968,965,947]) ).

tff(1663,plain,
    double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))) = double_divide(identity,c3),
    inference(transitivity,[status(thm)],[533,522,532]) ).

tff(1664,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),
    inference(monotonicity,[status(thm)],[1663,1662]) ).

tff(1665,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(monotonicity,[status(thm)],[143,1664]) ).

tff(1666,plain,
    double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(symmetry,[status(thm)],[1665]) ).

tff(1667,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[1666]) ).

tff(1668,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3))),
    inference(transitivity,[status(thm)],[1667,1660,1657,795]) ).

tff(1669,plain,
    double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),
    inference(monotonicity,[status(thm)],[1668]) ).

tff(1670,plain,
    double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[1669,786,783,929,669,928]) ).

tff(1671,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[970,1670]) ).

tff(1672,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(symmetry,[status(thm)],[1671]) ).

tff(1673,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1674,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(unit_resolution,[status(thm)],[1673,28]) ).

tff(1675,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))),
    inference(transitivity,[status(thm)],[922,919,898,896]) ).

tff(1676,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(monotonicity,[status(thm)],[1675]) ).

tff(1677,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),
    inference(transitivity,[status(thm)],[1676,851,848,630,761,610,608]) ).

tff(1678,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(monotonicity,[status(thm)],[774,1677]) ).

tff(1679,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = identity,
    inference(transitivity,[status(thm)],[1678,605]) ).

tff(1680,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),
    inference(monotonicity,[status(thm)],[336,1679]) ).

tff(1681,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(symmetry,[status(thm)],[1680]) ).

tff(1682,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1683,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),
    inference(unit_resolution,[status(thm)],[1682,28]) ).

tff(1684,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1685,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),
    inference(unit_resolution,[status(thm)],[1684,28]) ).

tff(1686,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(1687,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = identity,
    inference(transitivity,[status(thm)],[1686,1685,43]) ).

tff(1688,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[143,1687]) ).

tff(1689,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = identity,
    inference(transitivity,[status(thm)],[1688,20,101,67,49]) ).

tff(1690,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[43,1689]) ).

tff(1691,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = identity,
    inference(transitivity,[status(thm)],[1690,20,101,67,49]) ).

tff(1692,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[1691,112]) ).

tff(1693,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1694,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(unit_resolution,[status(thm)],[1693,28]) ).

tff(1695,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1694]) ).

tff(1696,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[882,875,872]) ).

tff(1697,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[1696]) ).

tff(1698,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))),
    inference(transitivity,[status(thm)],[1697,892]) ).

tff(1699,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(monotonicity,[status(thm)],[447,1698]) ).

tff(1700,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[1699]) ).

tff(1701,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[922,919,898,1700]) ).

tff(1702,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[1701]) ).

tff(1703,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[1702,1695,1692]) ).

tff(1704,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1703]) ).

tff(1705,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[1704,1683,1681]) ).

tff(1706,plain,
    double_divide(identity,double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[42,904]) ).

tff(1707,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[1706,1705]) ).

tff(1708,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(symmetry,[status(thm)],[1707]) ).

tff(1709,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = identity,
    inference(transitivity,[status(thm)],[1702,1695,1692,20,101,67,49]) ).

tff(1710,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),
    inference(monotonicity,[status(thm)],[1709]) ).

tff(1711,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[1710,1681]) ).

tff(1712,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[1706,1711]) ).

tff(1713,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[1712,1708]) ).

tff(1714,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[1713]) ).

tff(1715,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(symmetry,[status(thm)],[1714]) ).

tff(1716,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1715]) ).

tff(1717,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1716]) ).

tff(1718,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1719,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(unit_resolution,[status(thm)],[1718,28]) ).

tff(1720,plain,
    double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1719]) ).

tff(1721,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(transitivity,[status(thm)],[222,221,1720,1717,1674,1672]) ).

tff(1722,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1723,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(unit_resolution,[status(thm)],[1722,28]) ).

tff(1724,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1725,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[1724,28]) ).

tff(1726,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[898]) ).

tff(1727,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(monotonicity,[status(thm)],[892]) ).

tff(1728,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1727,1726,918,921,910]) ).

tff(1729,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,1728]) ).

tff(1730,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(symmetry,[status(thm)],[1729]) ).

tff(1731,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[965]) ).

tff(1732,plain,
    double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[947]) ).

tff(1733,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1734,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),
    inference(unit_resolution,[status(thm)],[1733,28]) ).

tff(1735,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[660]) ).

tff(1736,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(transitivity,[status(thm)],[1735,1734,1732,1731,967,1730]) ).

tff(1737,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(monotonicity,[status(thm)],[1612,1736]) ).

tff(1738,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(symmetry,[status(thm)],[1737]) ).

tff(1739,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[660]) ).

tff(1740,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(transitivity,[status(thm)],[1739,906,1732,1731,967,1730]) ).

tff(1741,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(monotonicity,[status(thm)],[1612,1740]) ).

tff(1742,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(transitivity,[status(thm)],[1741,1738]) ).

tff(1743,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(monotonicity,[status(thm)],[1742]) ).

tff(1744,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(symmetry,[status(thm)],[1743]) ).

tff(1745,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1744]) ).

tff(1746,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(1747,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1746,1745,1725,910]) ).

tff(1748,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,1747]) ).

tff(1749,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1748,968,965,947,904]) ).

tff(1750,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[1749]) ).

tff(1751,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1750]) ).

tff(1752,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1753,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(unit_resolution,[status(thm)],[1752,28]) ).

tff(1754,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1753]) ).

tff(1755,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1756,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(unit_resolution,[status(thm)],[1755,28]) ).

tff(1757,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),
    inference(monotonicity,[status(thm)],[213,729]) ).

tff(1758,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1757,904]) ).

tff(1759,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,1758]) ).

tff(1760,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[1759]) ).

tff(1761,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[955,776]) ).

tff(1762,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[1761,949,1760]) ).

tff(1763,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[720,1762]) ).

tff(1764,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[1763]) ).

tff(1765,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1766,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(unit_resolution,[status(thm)],[1765,28]) ).

tff(1767,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1768,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(unit_resolution,[status(thm)],[1767,28]) ).

tff(1769,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(1770,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1769,1768,169]) ).

tff(1771,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,1770]) ).

tff(1772,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1771,270,267,197,200,218,100]) ).

tff(1773,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[1772]) ).

tff(1774,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[1773,221]) ).

tff(1775,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),
    inference(monotonicity,[status(thm)],[1774,112]) ).

tff(1776,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1775]) ).

tff(1777,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1778,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),
    inference(unit_resolution,[status(thm)],[1777,28]) ).

tff(1779,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[776]) ).

tff(1780,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[1779,1778,1776,1766,1764]) ).

tff(1781,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[720,1780]) ).

tff(1782,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[1781]) ).

tff(1783,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1784,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),
    inference(unit_resolution,[status(thm)],[1783,28]) ).

tff(1785,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[776]) ).

tff(1786,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[1785,1784,1776,1766,1764]) ).

tff(1787,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[720,1786]) ).

tff(1788,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[1787,1782]) ).

tff(1789,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[1788]) ).

tff(1790,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1789]) ).

tff(1791,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1790]) ).

tff(1792,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))) = identity,
    inference(transitivity,[status(thm)],[775,605]) ).

tff(1793,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),
    inference(monotonicity,[status(thm)],[1792]) ).

tff(1794,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[1793,1776,1766,1764]) ).

tff(1795,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[720,1794]) ).

tff(1796,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[1795,1782]) ).

tff(1797,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[1796]) ).

tff(1798,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),
    inference(symmetry,[status(thm)],[1797]) ).

tff(1799,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1798]) ).

tff(1800,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1799]) ).

tff(1801,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1802,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(unit_resolution,[status(thm)],[1801,28]) ).

tff(1803,plain,
    double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1802]) ).

tff(1804,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),
    inference(monotonicity,[status(thm)],[213,671]) ).

tff(1805,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),
    inference(transitivity,[status(thm)],[1804,940,939,937]) ).

tff(1806,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(monotonicity,[status(thm)],[1805]) ).

tff(1807,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[1806,934,48,68,30,21]) ).

tff(1808,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[383,1807]) ).

tff(1809,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(transitivity,[status(thm)],[1808,241,1803,1800,1791,1756,1738]) ).

tff(1810,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(monotonicity,[status(thm)],[1809]) ).

tff(1811,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(symmetry,[status(thm)],[1808]) ).

tff(1812,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1813,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(unit_resolution,[status(thm)],[1812,28]) ).

tff(1814,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1813]) ).

tff(1815,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[391,536]) ).

tff(1816,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = multiply(a3,b3),
    inference(transitivity,[status(thm)],[1815,241,178,175,88,84]) ).

tff(1817,plain,
    double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(c3,multiply(a3,b3)),
    inference(monotonicity,[status(thm)],[549,1816]) ).

tff(1818,plain,
    double_divide(c3,multiply(a3,b3)) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(symmetry,[status(thm)],[1817]) ).

tff(1819,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(c3,multiply(a3,b3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1820,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(c3,multiply(a3,b3)),
    inference(unit_resolution,[status(thm)],[1819,28]) ).

tff(1821,plain,
    double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))),
    inference(transitivity,[status(thm)],[20,101,67,49,243,338]) ).

tff(1822,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1823,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),
    inference(unit_resolution,[status(thm)],[1822,28]) ).

tff(1824,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(1825,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(c3,double_divide(double_divide(b3,a3),identity)),
    inference(transitivity,[status(thm)],[1824,1820,86]) ).

tff(1826,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),
    inference(monotonicity,[status(thm)],[107,1825]) ).

tff(1827,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[1826]) ).

tff(1828,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1829,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(unit_resolution,[status(thm)],[1828,28]) ).

tff(1830,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[425]) ).

tff(1831,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[1830,1829,411]) ).

tff(1832,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[336,1831]) ).

tff(1833,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[1832,429]) ).

tff(1834,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1833]) ).

tff(1835,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1834]) ).

tff(1836,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1837,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(unit_resolution,[status(thm)],[1836,28]) ).

tff(1838,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1837]) ).

tff(1839,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1840,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,identity)) = double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),
    inference(unit_resolution,[status(thm)],[1839,28]) ).

tff(1841,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(1842,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = identity,
    inference(transitivity,[status(thm)],[1841,1840,43]) ).

tff(1843,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[143,1842]) ).

tff(1844,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = identity,
    inference(transitivity,[status(thm)],[1843,20,101,67,49]) ).

tff(1845,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[43,1844]) ).

tff(1846,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = identity,
    inference(transitivity,[status(thm)],[1845,20,101,67,49]) ).

tff(1847,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[1846,112]) ).

tff(1848,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1849,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),
    inference(unit_resolution,[status(thm)],[1848,28]) ).

tff(1850,plain,
    double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1849]) ).

tff(1851,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[494,323]) ).

tff(1852,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[1851]) ).

tff(1853,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1852,355]) ).

tff(1854,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,1853]) ).

tff(1855,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))),
    inference(symmetry,[status(thm)],[1854]) ).

tff(1856,plain,
    double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),
    inference(monotonicity,[status(thm)],[1855]) ).

tff(1857,plain,
    double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[1856,1850,1847]) ).

tff(1858,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1857]) ).

tff(1859,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),
    inference(transitivity,[status(thm)],[1858,442]) ).

tff(1860,plain,
    double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),
    inference(monotonicity,[status(thm)],[1859]) ).

tff(1861,plain,
    double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(symmetry,[status(thm)],[1860]) ).

tff(1862,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[394]) ).

tff(1863,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))),
    inference(transitivity,[status(thm)],[480,327]) ).

tff(1864,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(monotonicity,[status(thm)],[1863]) ).

tff(1865,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[1864,282,279,1862,396,1861]) ).

tff(1866,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[484,1865]) ).

tff(1867,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1866,1838,1835,437,229,1827]) ).

tff(1868,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[1867]) ).

tff(1869,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(symmetry,[status(thm)],[1868]) ).

tff(1870,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1869]) ).

tff(1871,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1872,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[1871,28]) ).

tff(1873,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1872]) ).

tff(1874,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),
    inference(transitivity,[status(thm)],[1873,1870,1823]) ).

tff(1875,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(monotonicity,[status(thm)],[1874,1821]) ).

tff(1876,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1875]) ).

tff(1877,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[1876,1820,1818]) ).

tff(1878,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[1877]) ).

tff(1879,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(transitivity,[status(thm)],[1878,1814,1799,1802,386,1811]) ).

tff(1880,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(monotonicity,[status(thm)],[1879]) ).

tff(1881,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),
    inference(transitivity,[status(thm)],[1880,1810,1754,1751,906]) ).

tff(1882,plain,
    double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(identity,c3),
    inference(transitivity,[status(thm)],[484,532]) ).

tff(1883,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))))) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),
    inference(monotonicity,[status(thm)],[1882,1881]) ).

tff(1884,plain,
    double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))))),
    inference(symmetry,[status(thm)],[1883]) ).

tff(1885,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1886,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),
    inference(unit_resolution,[status(thm)],[1885,28]) ).

tff(1887,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1888,plain,
    identity = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))),
    inference(unit_resolution,[status(thm)],[1887,17]) ).

tff(1889,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))) = identity,
    inference(symmetry,[status(thm)],[1888]) ).

tff(1890,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1891,plain,
    inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),identity),
    inference(unit_resolution,[status(thm)],[1890,37]) ).

tff(1892,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),identity) = inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),
    inference(symmetry,[status(thm)],[1891]) ).

tff(1893,plain,
    identity = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))),
    inference(transitivity,[status(thm)],[243,338]) ).

tff(1894,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(monotonicity,[status(thm)],[1893]) ).

tff(1895,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),identity),
    inference(symmetry,[status(thm)],[1894]) ).

tff(1896,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) = inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),
    inference(transitivity,[status(thm)],[1895,1892]) ).

tff(1897,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))),
    inference(monotonicity,[status(thm)],[1896]) ).

tff(1898,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[1897,1889,48,68,30,21]) ).

tff(1899,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1900,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[1899,28]) ).

tff(1901,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(1902,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1901,1900,910]) ).

tff(1903,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,1902]) ).

tff(1904,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1903,968,965,947,904]) ).

tff(1905,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[1904]) ).

tff(1906,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1905]) ).

tff(1907,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1908,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(unit_resolution,[status(thm)],[1907,28]) ).

tff(1909,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1908]) ).

tff(1910,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1911,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[1910,28]) ).

tff(1912,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[444]) ).

tff(1913,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))) = double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))),
    inference(transitivity,[status(thm)],[1912,1911,922,919,898,896]) ).

tff(1914,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(monotonicity,[status(thm)],[447,1913]) ).

tff(1915,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))) = double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))),
    inference(transitivity,[status(thm)],[1914,959]) ).

tff(1916,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(monotonicity,[status(thm)],[1915]) ).

tff(1917,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1916]) ).

tff(1918,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1919,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(unit_resolution,[status(thm)],[1918,28]) ).

tff(1920,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1919]) ).

tff(1921,plain,
    double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))) = double_divide(c3,inverse(c3)),
    inference(monotonicity,[status(thm)],[1001]) ).

tff(1922,plain,
    double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[1921,994,48,68,30,21]) ).

tff(1923,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1922]) ).

tff(1924,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),
    inference(transitivity,[status(thm)],[1923,906]) ).

tff(1925,plain,
    double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),
    inference(monotonicity,[status(thm)],[1924]) ).

tff(1926,plain,
    double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))),
    inference(symmetry,[status(thm)],[1925]) ).

tff(1927,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(monotonicity,[status(thm)],[1926]) ).

tff(1928,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),
    inference(transitivity,[status(thm)],[1927,1920,1917,947,940,939,937]) ).

tff(1929,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(monotonicity,[status(thm)],[1928]) ).

tff(1930,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[1929,934,48,68,30,21]) ).

tff(1931,plain,
    double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[800,1930]) ).

tff(1932,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(symmetry,[status(thm)],[1931]) ).

tff(1933,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(transitivity,[status(thm)],[480,1932]) ).

tff(1934,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(monotonicity,[status(thm)],[1933]) ).

tff(1935,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),
    inference(transitivity,[status(thm)],[1934,1909,1906,906]) ).

tff(1936,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),
    inference(monotonicity,[status(thm)],[1882,1935]) ).

tff(1937,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(monotonicity,[status(thm)],[43,1936]) ).

tff(1938,plain,
    double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(symmetry,[status(thm)],[1937]) ).

tff(1939,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1938,1898]) ).

tff(1940,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))))),
    inference(transitivity,[status(thm)],[1939,1886,1884]) ).

tff(1941,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1942,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(unit_resolution,[status(thm)],[1941,28]) ).

tff(1943,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(1944,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1943,442,1827]) ).

tff(1945,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,1944]) ).

tff(1946,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[1945]) ).

tff(1947,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1948,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(unit_resolution,[status(thm)],[1947,28]) ).

tff(1949,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(1950,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1949,1948,440,437,229,1827]) ).

tff(1951,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,1950]) ).

tff(1952,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1951,1946]) ).

tff(1953,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[1952]) ).

tff(1954,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1953]) ).

tff(1955,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1956,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[1955,28]) ).

tff(1957,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1956]) ).

tff(1958,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(c3,multiply(a3,b3)),inverse(double_divide(c3,multiply(a3,b3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1959,plain,
    identity = double_divide(double_divide(c3,multiply(a3,b3)),inverse(double_divide(c3,multiply(a3,b3)))),
    inference(unit_resolution,[status(thm)],[1958,17]) ).

tff(1960,plain,
    double_divide(double_divide(c3,multiply(a3,b3)),inverse(double_divide(c3,multiply(a3,b3)))) = identity,
    inference(symmetry,[status(thm)],[1959]) ).

tff(1961,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(c3,multiply(a3,b3))) = double_divide(double_divide(c3,multiply(a3,b3)),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1962,plain,
    inverse(double_divide(c3,multiply(a3,b3))) = double_divide(double_divide(c3,multiply(a3,b3)),identity),
    inference(unit_resolution,[status(thm)],[1961,37]) ).

tff(1963,plain,
    double_divide(double_divide(c3,multiply(a3,b3)),identity) = inverse(double_divide(c3,multiply(a3,b3))),
    inference(symmetry,[status(thm)],[1962]) ).

tff(1964,plain,
    double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(c3,multiply(a3,b3)),identity),
    inference(monotonicity,[status(thm)],[43]) ).

tff(1965,plain,
    double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = inverse(double_divide(c3,multiply(a3,b3))),
    inference(transitivity,[status(thm)],[1964,1963]) ).

tff(1966,plain,
    double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(c3,multiply(a3,b3)),inverse(double_divide(c3,multiply(a3,b3)))),
    inference(monotonicity,[status(thm)],[1965]) ).

tff(1967,plain,
    double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))),
    inference(transitivity,[status(thm)],[1966,1960,243,338]) ).

tff(1968,plain,
    double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(monotonicity,[status(thm)],[409,1967]) ).

tff(1969,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) = double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[1968]) ).

tff(1970,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(1971,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1970,413,1969]) ).

tff(1972,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,1971]) ).

tff(1973,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[1972]) ).

tff(1974,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1870]) ).

tff(1975,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1823]) ).

tff(1976,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1826,1975,1974,1872,1973]) ).

tff(1977,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[1976]) ).

tff(1978,plain,
    double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[42,1827]) ).

tff(1979,plain,
    double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(transitivity,[status(thm)],[1978,1977,1957,1954,1942]) ).

tff(1980,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),
    inference(monotonicity,[status(thm)],[1979,1940]) ).

tff(1981,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))))),
    inference(symmetry,[status(thm)],[1980]) ).

tff(1982,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1983,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),
    inference(unit_resolution,[status(thm)],[1982,28]) ).

tff(1984,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1898]) ).

tff(1985,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))))),
    inference(transitivity,[status(thm)],[1984,1983,1884]) ).

tff(1986,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),
    inference(monotonicity,[status(thm)],[1979,1985]) ).

tff(1987,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))))),
    inference(transitivity,[status(thm)],[1986,1981]) ).

tff(1988,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),
    inference(monotonicity,[status(thm)],[1987]) ).

tff(1989,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),
    inference(symmetry,[status(thm)],[1988]) ).

tff(1990,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1989]) ).

tff(1991,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1990]) ).

tff(1992,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(1993,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(unit_resolution,[status(thm)],[1992,28]) ).

tff(1994,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1993]) ).

tff(1995,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) = double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(transitivity,[status(thm)],[1994,1991,1723]) ).

tff(1996,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))) = double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(monotonicity,[status(thm)],[1995,1721]) ).

tff(1997,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1996,1648,1645,809,1023]) ).

tff(1998,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,1997]) ).

tff(1999,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))),
    inference(symmetry,[status(thm)],[1998]) ).

tff(2000,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1042]) ).

tff(2001,plain,
    a3 = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[71]) ).

tff(2002,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)) = a3 ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2003,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)) = a3,
    inference(unit_resolution,[status(thm)],[2002,28]) ).

tff(2004,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[444]) ).

tff(2005,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))),
    inference(transitivity,[status(thm)],[2004,2003,2001,2000,1044,1999]) ).

tff(2006,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(monotonicity,[status(thm)],[447,2005]) ).

tff(2007,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))),
    inference(symmetry,[status(thm)],[2006]) ).

tff(2008,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[444]) ).

tff(2009,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))),
    inference(transitivity,[status(thm)],[2008,73,2001,2000,1044,1999]) ).

tff(2010,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(monotonicity,[status(thm)],[447,2009]) ).

tff(2011,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))) = double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))),
    inference(transitivity,[status(thm)],[2010,2007]) ).

tff(2012,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(monotonicity,[status(thm)],[2011]) ).

tff(2013,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(symmetry,[status(thm)],[2012]) ).

tff(2014,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2013]) ).

tff(2015,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2014]) ).

tff(2016,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2017,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(unit_resolution,[status(thm)],[2016,28]) ).

tff(2018,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2017]) ).

tff(2019,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2020,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(unit_resolution,[status(thm)],[2019,28]) ).

tff(2021,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1586]) ).

tff(2022,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),
    inference(transitivity,[status(thm)],[2021,2020,2018,2015,1637,1635]) ).

tff(2023,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),
    inference(monotonicity,[status(thm)],[1633,2022]) ).

tff(2024,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),
    inference(symmetry,[status(thm)],[2023]) ).

tff(2025,plain,
    double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1035,1586]) ).

tff(2026,plain,
    double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),
    inference(transitivity,[status(thm)],[2025,1009,2018,2015,1637,1635]) ).

tff(2027,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),
    inference(monotonicity,[status(thm)],[1633,2026]) ).

tff(2028,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),
    inference(transitivity,[status(thm)],[2027,2024]) ).

tff(2029,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),
    inference(monotonicity,[status(thm)],[2028]) ).

tff(2030,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),
    inference(symmetry,[status(thm)],[2029]) ).

tff(2031,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))),double_divide(a3,double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2030]) ).

tff(2032,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2033,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(unit_resolution,[status(thm)],[2032,28]) ).

tff(2034,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2033]) ).

tff(2035,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),a3)))),double_divide(identity,identity)) = double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2036,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),a3)))),double_divide(identity,identity)) = double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),
    inference(unit_resolution,[status(thm)],[2035,28]) ).

tff(2037,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[809]) ).

tff(2038,plain,
    a3 = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1017,1016,815,802]) ).

tff(2039,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),a3) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[2038]) ).

tff(2040,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),a3) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))),
    inference(transitivity,[status(thm)],[2039,2037,1030,1033,1007]) ).

tff(2041,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),a3)) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(monotonicity,[status(thm)],[2040]) ).

tff(2042,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),a3)) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[2041,991,988,980,839,594]) ).

tff(2043,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),a3))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,2042]) ).

tff(2044,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),a3))),
    inference(symmetry,[status(thm)],[2043]) ).

tff(2045,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2046,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[2045,28]) ).

tff(2047,plain,
    double_divide(identity,double_divide(c3,a3)) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))),
    inference(transitivity,[status(thm)],[758,837]) ).

tff(2048,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(c3,a3))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(monotonicity,[status(thm)],[2047]) ).

tff(2049,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(c3,a3))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3))),
    inference(transitivity,[status(thm)],[2048,1064]) ).

tff(2050,plain,
    double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(c3,a3)))) = double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),
    inference(monotonicity,[status(thm)],[2049]) ).

tff(2051,plain,
    double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(c3,a3)))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[2050,1059,1056]) ).

tff(2052,plain,
    double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[800,2051]) ).

tff(2053,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[2052]) ).

tff(2054,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(identity,identity)) = double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2055,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(identity,identity)) = double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),
    inference(unit_resolution,[status(thm)],[2054,28]) ).

tff(2056,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[776]) ).

tff(2057,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[2056,2055,502,2053]) ).

tff(2058,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[720,2057]) ).

tff(2059,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[2058]) ).

tff(2060,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[776]) ).

tff(2061,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[2060,2053]) ).

tff(2062,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[720,2061]) ).

tff(2063,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[2062,2059]) ).

tff(2064,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[2063]) ).

tff(2065,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),
    inference(symmetry,[status(thm)],[2064]) ).

tff(2066,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2065]) ).

tff(2067,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2068,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(unit_resolution,[status(thm)],[2067,28]) ).

tff(2069,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2068]) ).

tff(2070,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2071,plain,
    double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(unit_resolution,[status(thm)],[2070,28]) ).

tff(2072,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),inverse(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2073,plain,
    identity = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),inverse(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))),
    inference(unit_resolution,[status(thm)],[2072,17]) ).

tff(2074,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),inverse(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))) = identity,
    inference(symmetry,[status(thm)],[2073]) ).

tff(2075,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2076,plain,
    inverse(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),identity),
    inference(unit_resolution,[status(thm)],[2075,37]) ).

tff(2077,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),identity) = inverse(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),
    inference(symmetry,[status(thm)],[2076]) ).

tff(2078,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),identity) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[69]) ).

tff(2079,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),identity),
    inference(symmetry,[status(thm)],[2078]) ).

tff(2080,plain,
    a3 = inverse(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),
    inference(transitivity,[status(thm)],[1017,2079,2077]) ).

tff(2081,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),inverse(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))),
    inference(monotonicity,[status(thm)],[2080]) ).

tff(2082,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[2081,2074,48,68,30,21]) ).

tff(2083,plain,
    double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)) = double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2082]) ).

tff(2084,plain,
    double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3))),
    inference(transitivity,[status(thm)],[2083,2071,2069,2066,2046,460,457,831,828,825,822,820,795]) ).

tff(2085,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1034,1031,809,1023]) ).

tff(2086,plain,
    double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[42,2085]) ).

tff(2087,plain,
    double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))) = a3,
    inference(transitivity,[status(thm)],[2086,1045,1042,71]) ).

tff(2088,plain,
    double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3))) = double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),
    inference(monotonicity,[status(thm)],[2087,2084]) ).

tff(2089,plain,
    double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),a3))),
    inference(transitivity,[status(thm)],[2088,786,783,929,669,2044]) ).

tff(2090,plain,
    double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))) = double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),a3)))),
    inference(monotonicity,[status(thm)],[2089]) ).

tff(2091,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),double_divide(identity,identity)) = double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),a3)))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2090]) ).

tff(2092,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2093,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),
    inference(unit_resolution,[status(thm)],[2092,28]) ).

tff(2094,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))) = double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2093]) ).

tff(2095,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(monotonicity,[status(thm)],[1007]) ).

tff(2096,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))) = inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),
    inference(transitivity,[status(thm)],[2095,991,988,980,839,761,610,608]) ).

tff(2097,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(monotonicity,[status(thm)],[774,2096]) ).

tff(2098,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[2097,605,48,68,30,21]) ).

tff(2099,plain,
    double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[800,2098]) ).

tff(2100,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))))),
    inference(symmetry,[status(thm)],[2099]) ).

tff(2101,plain,
    double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))) = double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),
    inference(monotonicity,[status(thm)],[1064]) ).

tff(2102,plain,
    double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[2101,1059,1056]) ).

tff(2103,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2102]) ).

tff(2104,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))))),
    inference(transitivity,[status(thm)],[2103,2055,502,2100]) ).

tff(2105,plain,
    double_divide(identity,a3) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[42,2038]) ).

tff(2106,plain,
    double_divide(identity,a3) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(transitivity,[status(thm)],[2105,2037,1030,1033]) ).

tff(2107,plain,
    double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))))) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),
    inference(monotonicity,[status(thm)],[2106,2104]) ).

tff(2108,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))) = double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))))),
    inference(symmetry,[status(thm)],[2107]) ).

tff(2109,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2110,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),
    inference(unit_resolution,[status(thm)],[2109,28]) ).

tff(2111,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(transitivity,[status(thm)],[331,330,1932]) ).

tff(2112,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(monotonicity,[status(thm)],[2111]) ).

tff(2113,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[2112,1909,1906,906,881]) ).

tff(2114,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[336,2113]) ).

tff(2115,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))),
    inference(symmetry,[status(thm)],[2114]) ).

tff(2116,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[872]) ).

tff(2117,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2118,plain,
    double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(unit_resolution,[status(thm)],[2117,28]) ).

tff(2119,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),inverse(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2120,plain,
    identity = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),inverse(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))),
    inference(unit_resolution,[status(thm)],[2119,17]) ).

tff(2121,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),inverse(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))) = identity,
    inference(symmetry,[status(thm)],[2120]) ).

tff(2122,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2123,plain,
    inverse(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),identity),
    inference(unit_resolution,[status(thm)],[2122,37]) ).

tff(2124,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),identity) = inverse(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),
    inference(symmetry,[status(thm)],[2123]) ).

tff(2125,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[69]) ).

tff(2126,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),identity),
    inference(symmetry,[status(thm)],[2125]) ).

tff(2127,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[442]) ).

tff(2128,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))) = inverse(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),
    inference(transitivity,[status(thm)],[2127,2126,2124]) ).

tff(2129,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),inverse(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))),
    inference(monotonicity,[status(thm)],[2128]) ).

tff(2130,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[2129,2121,48,68,30,21]) ).

tff(2131,plain,
    double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))) = double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2130]) ).

tff(2132,plain,
    double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))),
    inference(transitivity,[status(thm)],[2131,2118,2116,874,2115]) ).

tff(2133,plain,
    double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[42,1969]) ).

tff(2134,plain,
    double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),
    inference(transitivity,[status(thm)],[2133,1873,1870,1823]) ).

tff(2135,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(monotonicity,[status(thm)],[2134,2132]) ).

tff(2136,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))),
    inference(symmetry,[status(thm)],[2135]) ).

tff(2137,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2138,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(unit_resolution,[status(thm)],[2137,28]) ).

tff(2139,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2130]) ).

tff(2140,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))),
    inference(transitivity,[status(thm)],[2139,2138,2116,874,2115]) ).

tff(2141,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(monotonicity,[status(thm)],[2134,2140]) ).

tff(2142,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))),
    inference(transitivity,[status(thm)],[2141,2136]) ).

tff(2143,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(monotonicity,[status(thm)],[2142]) ).

tff(2144,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2143]) ).

tff(2145,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2146,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),
    inference(unit_resolution,[status(thm)],[2145,28]) ).

tff(2147,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2146]) ).

tff(2148,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),
    inference(monotonicity,[status(thm)],[1884]) ).

tff(2149,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))))),
    inference(transitivity,[status(thm)],[2148,2147,2144,2110,2108]) ).

tff(2150,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),
    inference(monotonicity,[status(thm)],[2149]) ).

tff(2151,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))),
    inference(transitivity,[status(thm)],[2150,2094,2091,2036,502,327]) ).

tff(2152,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(monotonicity,[status(thm)],[2134,2151]) ).

tff(2153,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(symmetry,[status(thm)],[2152]) ).

tff(2154,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[279]) ).

tff(2155,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2156,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(unit_resolution,[status(thm)],[2155,28]) ).

tff(2157,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[444]) ).

tff(2158,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))) = inverse(double_divide(double_divide(double_divide(b3,a3),identity),identity)),
    inference(transitivity,[status(thm)],[2157,2156,386,421,419]) ).

tff(2159,plain,
    double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),identity),identity),
    inference(transitivity,[status(thm)],[170,270,267,197,200,218,382,211]) ).

tff(2160,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),identity),inverse(double_divide(double_divide(double_divide(b3,a3),identity),identity))),
    inference(monotonicity,[status(thm)],[2159,2158]) ).

tff(2161,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[2160,416,48,68,30,21]) ).

tff(2162,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[391,2161]) ).

tff(2163,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))) = double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[2162,241]) ).

tff(2164,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),
    inference(monotonicity,[status(thm)],[2163,112]) ).

tff(2165,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2166,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(unit_resolution,[status(thm)],[2165,28]) ).

tff(2167,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2166]) ).

tff(2168,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[1927,1920,1917,947,881]) ).

tff(2169,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[2168]) ).

tff(2170,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[2169,875,872,628,557,555,553,551]) ).

tff(2171,plain,
    double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[800,2170]) ).

tff(2172,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(symmetry,[status(thm)],[2171]) ).

tff(2173,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)) = a3 ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2174,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)) = a3,
    inference(unit_resolution,[status(thm)],[2173,28]) ).

tff(2175,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),inverse(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2176,plain,
    identity = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),inverse(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))),
    inference(unit_resolution,[status(thm)],[2175,17]) ).

tff(2177,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),inverse(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))) = identity,
    inference(symmetry,[status(thm)],[2176]) ).

tff(2178,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2179,plain,
    inverse(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),identity),
    inference(unit_resolution,[status(thm)],[2178,37]) ).

tff(2180,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),identity) = inverse(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),
    inference(symmetry,[status(thm)],[2179]) ).

tff(2181,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[69]) ).

tff(2182,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),identity),
    inference(symmetry,[status(thm)],[2181]) ).

tff(2183,plain,
    double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1983]) ).

tff(2184,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),inverse(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2185,plain,
    identity = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),inverse(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(unit_resolution,[status(thm)],[2184,17]) ).

tff(2186,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),inverse(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = identity,
    inference(symmetry,[status(thm)],[2185]) ).

tff(2187,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2188,plain,
    inverse(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity),
    inference(unit_resolution,[status(thm)],[2187,37]) ).

tff(2189,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity) = inverse(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(symmetry,[status(thm)],[2188]) ).

tff(2190,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity)) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),inverse(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(monotonicity,[status(thm)],[2189]) ).

tff(2191,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity)) = identity,
    inference(transitivity,[status(thm)],[2190,2186]) ).

tff(2192,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity))) = double_divide(identity,identity),
    inference(monotonicity,[status(thm)],[43,2191]) ).

tff(2193,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity)))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1938,2192]) ).

tff(2194,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity)))) = inverse(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),
    inference(transitivity,[status(thm)],[2193,1886,2183,2182,2180]) ).

tff(2195,plain,
    double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1723]) ).

tff(2196,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2197,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(unit_resolution,[status(thm)],[2196,28]) ).

tff(2198,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1938,1003]) ).

tff(2199,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))),
    inference(transitivity,[status(thm)],[2198,1886,1926]) ).

tff(2200,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(monotonicity,[status(thm)],[793,2199]) ).

tff(2201,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))) = double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),
    inference(transitivity,[status(thm)],[2200,1920,1917,947]) ).

tff(2202,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),
    inference(monotonicity,[status(thm)],[1663,2201]) ).

tff(2203,plain,
    double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(symmetry,[status(thm)],[2202]) ).

tff(2204,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2203,69]) ).

tff(2205,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(transitivity,[status(thm)],[2204,2197,2195,1990,1993]) ).

tff(2206,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),inverse(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))),
    inference(monotonicity,[status(thm)],[2205,2194]) ).

tff(2207,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity)))),
    inference(symmetry,[status(thm)],[2193]) ).

tff(2208,plain,
    double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1886]) ).

tff(2209,plain,
    double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))) = double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity)))),
    inference(transitivity,[status(thm)],[2208,2207]) ).

tff(2210,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity),
    inference(symmetry,[status(thm)],[2204]) ).

tff(2211,plain,
    double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2197]) ).

tff(2212,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity),
    inference(transitivity,[status(thm)],[1994,1991,1723,2211,2210]) ).

tff(2213,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity))))),
    inference(monotonicity,[status(thm)],[2212,2209]) ).

tff(2214,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[2213,2206,2177,48,68,30,21]) ).

tff(2215,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2214]) ).

tff(2216,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(transitivity,[status(thm)],[2215,2174,1017,1016,815,2172]) ).

tff(2217,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2218,plain,
    double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),
    inference(unit_resolution,[status(thm)],[2217,28]) ).

tff(2219,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[355]) ).

tff(2220,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(transitivity,[status(thm)],[2219,523,520,502,1932]) ).

tff(2221,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(monotonicity,[status(thm)],[2220]) ).

tff(2222,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[2221,1909,1906,906,904]) ).

tff(2223,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,2222]) ).

tff(2224,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(symmetry,[status(thm)],[2223]) ).

tff(2225,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))),
    inference(transitivity,[status(thm)],[2095,991,988,980,839,758,892]) ).

tff(2226,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(monotonicity,[status(thm)],[2225]) ).

tff(2227,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[2226,1726,918,921,2224]) ).

tff(2228,plain,
    double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[800,2227]) ).

tff(2229,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))))),
    inference(symmetry,[status(thm)],[2228]) ).

tff(2230,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2231,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(unit_resolution,[status(thm)],[2230,28]) ).

tff(2232,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2233,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),
    inference(unit_resolution,[status(thm)],[2232,28]) ).

tff(2234,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1898]) ).

tff(2235,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))))),
    inference(transitivity,[status(thm)],[2234,2233,1884]) ).

tff(2236,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),
    inference(monotonicity,[status(thm)],[1979,2235]) ).

tff(2237,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))))),
    inference(transitivity,[status(thm)],[2236,1981]) ).

tff(2238,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),
    inference(monotonicity,[status(thm)],[2237]) ).

tff(2239,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2238]) ).

tff(2240,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2239]) ).

tff(2241,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2242,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(unit_resolution,[status(thm)],[2241,28]) ).

tff(2243,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2102]) ).

tff(2244,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))))),
    inference(transitivity,[status(thm)],[2243,2242,2195,2240,2231,2229]) ).

tff(2245,plain,
    double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))))) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),
    inference(monotonicity,[status(thm)],[2106,2244]) ).

tff(2246,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))) = double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))))),
    inference(symmetry,[status(thm)],[2245]) ).

tff(2247,plain,
    double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))) = identity,
    inference(transitivity,[status(thm)],[2101,1059,1056,20,101,67,49]) ).

tff(2248,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity),
    inference(monotonicity,[status(thm)],[2247]) ).

tff(2249,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))))),
    inference(transitivity,[status(thm)],[2248,2204,2197,2195,2240,2231,2229]) ).

tff(2250,plain,
    double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))))) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),
    inference(monotonicity,[status(thm)],[2106,2249]) ).

tff(2251,plain,
    double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))))) = double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))))),
    inference(transitivity,[status(thm)],[2250,2246]) ).

tff(2252,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),
    inference(monotonicity,[status(thm)],[2251]) ).

tff(2253,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),
    inference(symmetry,[status(thm)],[2252]) ).

tff(2254,plain,
    double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2253]) ).

tff(2255,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2256,plain,
    double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[2255,28]) ).

tff(2257,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2256]) ).

tff(2258,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1938,102]) ).

tff(2259,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),
    inference(transitivity,[status(thm)],[2258,1886]) ).

tff(2260,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(monotonicity,[status(thm)],[143,2259]) ).

tff(2261,plain,
    double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[2260]) ).

tff(2262,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1994,1991,1723,2261]) ).

tff(2263,plain,
    double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[42,2262]) ).

tff(2264,plain,
    double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),
    inference(transitivity,[status(thm)],[2263,2257,2254,2218]) ).

tff(2265,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(monotonicity,[status(thm)],[2264,2216]) ).

tff(2266,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(transitivity,[status(thm)],[2265,2167,2164,2154,281,2153]) ).

tff(2267,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(monotonicity,[status(thm)],[2266]) ).

tff(2268,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(transitivity,[status(thm)],[2267,2034,2031,1047,1017,1016,815]) ).

tff(2269,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2268]) ).

tff(2270,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2271,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(unit_resolution,[status(thm)],[2270,28]) ).

tff(2272,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2271]) ).

tff(2273,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = b3 ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2274,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = b3,
    inference(unit_resolution,[status(thm)],[2273,28]) ).

tff(2275,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1922]) ).

tff(2276,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),
    inference(transitivity,[status(thm)],[2275,442]) ).

tff(2277,plain,
    double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),
    inference(monotonicity,[status(thm)],[2276]) ).

tff(2278,plain,
    double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))),
    inference(symmetry,[status(thm)],[2277]) ).

tff(2279,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(b3,a3) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2280,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(b3,a3),
    inference(unit_resolution,[status(thm)],[2279,28]) ).

tff(2281,plain,
    double_divide(b3,a3) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2280]) ).

tff(2282,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[815]) ).

tff(2283,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[628,557,555,553,551]) ).

tff(2284,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[2283]) ).

tff(2285,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = a3,
    inference(transitivity,[status(thm)],[2284,2282,1015,73]) ).

tff(2286,plain,
    double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(b3,a3),
    inference(monotonicity,[status(thm)],[2285]) ).

tff(2287,plain,
    double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))),
    inference(transitivity,[status(thm)],[2286,2281,197,200,218,1862,396,2278]) ).

tff(2288,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(monotonicity,[status(thm)],[793,2287]) ).

tff(2289,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(symmetry,[status(thm)],[2288]) ).

tff(2290,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(transitivity,[status(thm)],[2284,2172]) ).

tff(2291,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(monotonicity,[status(thm)],[2290]) ).

tff(2292,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))),
    inference(transitivity,[status(thm)],[2291,2167,2164,1862,396,2278]) ).

tff(2293,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(monotonicity,[status(thm)],[793,2292]) ).

tff(2294,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(transitivity,[status(thm)],[2293,2289]) ).

tff(2295,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(monotonicity,[status(thm)],[2294]) ).

tff(2296,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(symmetry,[status(thm)],[2295]) ).

tff(2297,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2296]) ).

tff(2298,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2297]) ).

tff(2299,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2300,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),
    inference(unit_resolution,[status(thm)],[2299,28]) ).

tff(2301,plain,
    double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2300]) ).

tff(2302,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2303,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(unit_resolution,[status(thm)],[2302,28]) ).

tff(2304,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2082]) ).

tff(2305,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),
    inference(transitivity,[status(thm)],[2304,2297,2300]) ).

tff(2306,plain,
    double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3))) = double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(monotonicity,[status(thm)],[2087,2305]) ).

tff(2307,plain,
    double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3))),
    inference(symmetry,[status(thm)],[2306]) ).

tff(2308,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2082]) ).

tff(2309,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),
    inference(transitivity,[status(thm)],[2308,1983]) ).

tff(2310,plain,
    double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3))) = double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(monotonicity,[status(thm)],[2087,2309]) ).

tff(2311,plain,
    double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3))) = double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3))),
    inference(transitivity,[status(thm)],[2310,2307]) ).

tff(2312,plain,
    double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))) = double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),
    inference(monotonicity,[status(thm)],[2311]) ).

tff(2313,plain,
    double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))) = double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),
    inference(symmetry,[status(thm)],[2312]) ).

tff(2314,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),double_divide(identity,identity)) = double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2313]) ).

tff(2315,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2316,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(unit_resolution,[status(thm)],[2315,28]) ).

tff(2317,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2316]) ).

tff(2318,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2319,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(unit_resolution,[status(thm)],[2318,28]) ).

tff(2320,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2321,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(unit_resolution,[status(thm)],[2320,28]) ).

tff(2322,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[425]) ).

tff(2323,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[2322,2321,411]) ).

tff(2324,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[336,2323]) ).

tff(2325,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[2324,429]) ).

tff(2326,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[2325]) ).

tff(2327,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2326]) ).

tff(2328,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2327]) ).

tff(2329,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[437]) ).

tff(2330,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[229]) ).

tff(2331,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2332,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(unit_resolution,[status(thm)],[2331,28]) ).

tff(2333,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(2334,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[2333,2332,1969]) ).

tff(2335,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,2334]) ).

tff(2336,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[2335,1873,1870,1823,1827]) ).

tff(2337,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[2336]) ).

tff(2338,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(transitivity,[status(thm)],[2337,1977,1957,1954,1942]) ).

tff(2339,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2338]) ).

tff(2340,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2341,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(unit_resolution,[status(thm)],[2340,28]) ).

tff(2342,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2341]) ).

tff(2343,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[660]) ).

tff(2344,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(transitivity,[status(thm)],[2343,442,2330,2329,2328,2319,2289]) ).

tff(2345,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(monotonicity,[status(thm)],[1612,2344]) ).

tff(2346,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(symmetry,[status(thm)],[2345]) ).

tff(2347,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),double_divide(identity,identity)) = double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2314]) ).

tff(2348,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) = double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2303]) ).

tff(2349,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2350,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(unit_resolution,[status(thm)],[2349,28]) ).

tff(2351,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(2352,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[2351,2350,1969]) ).

tff(2353,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,2352]) ).

tff(2354,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[2353,1873,1870,1823,1827]) ).

tff(2355,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[2354]) ).

tff(2356,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(transitivity,[status(thm)],[2355,1977,1957,1954,1942]) ).

tff(2357,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2356]) ).

tff(2358,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2359,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(unit_resolution,[status(thm)],[2358,28]) ).

tff(2360,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2359]) ).

tff(2361,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2362,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),
    inference(unit_resolution,[status(thm)],[2361,28]) ).

tff(2363,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[776]) ).

tff(2364,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[2363,2362,1776,1766,1764]) ).

tff(2365,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[720,2364]) ).

tff(2366,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[2365,1782]) ).

tff(2367,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[2366]) ).

tff(2368,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2367]) ).

tff(2369,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2370,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),
    inference(unit_resolution,[status(thm)],[2369,28]) ).

tff(2371,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2370]) ).

tff(2372,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[1969]) ).

tff(2373,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)))),
    inference(transitivity,[status(thm)],[2372,1873,1870,1823,227]) ).

tff(2374,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),
    inference(monotonicity,[status(thm)],[2373]) ).

tff(2375,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[2374,330,501,533,522,546]) ).

tff(2376,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,2375]) ).

tff(2377,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))))),
    inference(symmetry,[status(thm)],[2376]) ).

tff(2378,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(c3,multiply(a3,b3)),identity),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(symmetry,[status(thm)],[545]) ).

tff(2379,plain,
    double_divide(double_divide(c3,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity) = multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3),
    inference(symmetry,[status(thm)],[822]) ).

tff(2380,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))))),
    inference(transitivity,[status(thm)],[1667,1660,1657,819,2379,824,827,830,456,459,2378,2377]) ).

tff(2381,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),
    inference(monotonicity,[status(thm)],[2380]) ).

tff(2382,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[2381,2371,2368,1799,1802,386,887]) ).

tff(2383,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[970,2382]) ).

tff(2384,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(symmetry,[status(thm)],[2383]) ).

tff(2385,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[860]) ).

tff(2386,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(transitivity,[status(thm)],[2385,862,2384]) ).

tff(2387,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(monotonicity,[status(thm)],[1995,2386]) ).

tff(2388,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = inverse(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),
    inference(transitivity,[status(thm)],[2387,2360,2357,2126,2124]) ).

tff(2389,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),inverse(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))),
    inference(monotonicity,[status(thm)],[2388]) ).

tff(2390,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[2389,2121,48,68,30,21]) ).

tff(2391,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2263,2390]) ).

tff(2392,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(transitivity,[status(thm)],[2391,2242,2195,1990,1993,2348,2347,2316,2346]) ).

tff(2393,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(monotonicity,[status(thm)],[2392]) ).

tff(2394,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(symmetry,[status(thm)],[2391]) ).

tff(2395,plain,
    double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2242]) ).

tff(2396,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[660]) ).

tff(2397,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(transitivity,[status(thm)],[2396,2314,2303,1994,1991,1723,2395,2394]) ).

tff(2398,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(monotonicity,[status(thm)],[1612,2397]) ).

tff(2399,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(transitivity,[status(thm)],[2398,2393,2342,2339,442,2330,2329,2328,2319,2289]) ).

tff(2400,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(monotonicity,[status(thm)],[2399]) ).

tff(2401,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(transitivity,[status(thm)],[2400,2317,2314,2303]) ).

tff(2402,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2401]) ).

tff(2403,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2404,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),
    inference(unit_resolution,[status(thm)],[2403,28]) ).

tff(2405,plain,
    double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2404]) ).

tff(2406,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),
    inference(monotonicity,[status(thm)],[1663]) ).

tff(2407,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))) = double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3))),
    inference(transitivity,[status(thm)],[2406,397,394,219,201,198,165,157,2307]) ).

tff(2408,plain,
    double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))) = double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),a3)))),
    inference(monotonicity,[status(thm)],[2407]) ).

tff(2409,plain,
    double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))) = b3,
    inference(transitivity,[status(thm)],[2408,2405,2402,1983,2301,2298,2274]) ).

tff(2410,plain,
    double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))) = double_divide(c3,b3),
    inference(monotonicity,[status(thm)],[549,2409]) ).

tff(2411,plain,
    double_divide(c3,b3) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))),
    inference(symmetry,[status(thm)],[2410]) ).

tff(2412,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(c3,b3) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2413,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(c3,b3),
    inference(unit_resolution,[status(thm)],[2412,28]) ).

tff(2414,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2415,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(unit_resolution,[status(thm)],[2414,28]) ).

tff(2416,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1295]) ).

tff(2417,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[1284]) ).

tff(2418,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))) = inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),
    inference(transitivity,[status(thm)],[2417,2416,1304,630,761,610,608]) ).

tff(2419,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),inverse(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(monotonicity,[status(thm)],[774,2418]) ).

tff(2420,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[2419,605,48,68,30,21,1113]) ).

tff(2421,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1395,2420]) ).

tff(2422,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))))),
    inference(symmetry,[status(thm)],[2421]) ).

tff(2423,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2424,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[2423,28]) ).

tff(2425,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),
    inference(monotonicity,[status(thm)],[1334]) ).

tff(2426,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[2425,1317,1314]) ).

tff(2427,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2426]) ).

tff(2428,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))))),
    inference(transitivity,[status(thm)],[2427,2424,1107,1267,2422]) ).

tff(2429,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1620]) ).

tff(2430,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1491,1490,1346,1614]) ).

tff(2431,plain,
    double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[42,2430]) ).

tff(2432,plain,
    double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(transitivity,[status(thm)],[2431,2429,1628,1286]) ).

tff(2433,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),
    inference(monotonicity,[status(thm)],[2432,2428]) ).

tff(2434,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))))),
    inference(symmetry,[status(thm)],[2433]) ).

tff(2435,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2436,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),
    inference(unit_resolution,[status(thm)],[2435,28]) ).

tff(2437,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2426]) ).

tff(2438,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))))),
    inference(transitivity,[status(thm)],[2437,2436,2434]) ).

tff(2439,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),
    inference(monotonicity,[status(thm)],[2432,2438]) ).

tff(2440,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))))),
    inference(symmetry,[status(thm)],[2439]) ).

tff(2441,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2442,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(unit_resolution,[status(thm)],[2441,28]) ).

tff(2443,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),inverse(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2444,plain,
    identity = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),inverse(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))),
    inference(unit_resolution,[status(thm)],[2443,17]) ).

tff(2445,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),inverse(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))) = identity,
    inference(symmetry,[status(thm)],[2444]) ).

tff(2446,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2447,plain,
    inverse(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),identity),
    inference(unit_resolution,[status(thm)],[2446,37]) ).

tff(2448,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),identity) = inverse(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),
    inference(symmetry,[status(thm)],[2447]) ).

tff(2449,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),identity) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[69]) ).

tff(2450,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),identity),
    inference(symmetry,[status(thm)],[2449]) ).

tff(2451,plain,
    double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = inverse(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),
    inference(transitivity,[status(thm)],[1264,1263,2450,2448]) ).

tff(2452,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),inverse(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))),
    inference(monotonicity,[status(thm)],[1268,2451]) ).

tff(2453,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[2452,2445,48,68,30,21]) ).

tff(2454,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2453]) ).

tff(2455,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[2454,2442,1363]) ).

tff(2456,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1395,2455]) ).

tff(2457,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(symmetry,[status(thm)],[2456]) ).

tff(2458,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(transitivity,[status(thm)],[2452,2445,566,564]) ).

tff(2459,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(monotonicity,[status(thm)],[2458]) ).

tff(2460,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[2459,1363]) ).

tff(2461,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1395,2460]) ).

tff(2462,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[2461,2457]) ).

tff(2463,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[2462]) ).

tff(2464,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(symmetry,[status(thm)],[2463]) ).

tff(2465,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2464]) ).

tff(2466,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2465]) ).

tff(2467,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(c3,a3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2468,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(c3,a3)),
    inference(unit_resolution,[status(thm)],[2467,28]) ).

tff(2469,plain,
    double_divide(identity,double_divide(c3,a3)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2468]) ).

tff(2470,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(c3,a3),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(c3,a3),identity))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[649,2426]) ).

tff(2471,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))))),
    inference(transitivity,[status(thm)],[2470,630,2469,2466,2436,2434]) ).

tff(2472,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),
    inference(monotonicity,[status(thm)],[2432,2471]) ).

tff(2473,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))))),
    inference(transitivity,[status(thm)],[2472,2440]) ).

tff(2474,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),
    inference(monotonicity,[status(thm)],[2473]) ).

tff(2475,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),
    inference(symmetry,[status(thm)],[2474]) ).

tff(2476,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2475]) ).

tff(2477,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(c3,a3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2478,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(c3,a3)),
    inference(unit_resolution,[status(thm)],[2477,28]) ).

tff(2479,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2426]) ).

tff(2480,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))))),
    inference(transitivity,[status(thm)],[2479,2478,2469,2466,2436,2434]) ).

tff(2481,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),
    inference(monotonicity,[status(thm)],[2432,2480]) ).

tff(2482,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))))),
    inference(transitivity,[status(thm)],[2481,2440]) ).

tff(2483,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),
    inference(monotonicity,[status(thm)],[2482]) ).

tff(2484,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2483]) ).

tff(2485,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2486,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(unit_resolution,[status(thm)],[2485,28]) ).

tff(2487,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2486]) ).

tff(2488,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[775,605,48,68,30,21,1113]) ).

tff(2489,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[2488]) ).

tff(2490,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[2489,1266,1106,1226]) ).

tff(2491,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[720,2490]) ).

tff(2492,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[2491]) ).

tff(2493,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[1423,1250,1247,1106,1226]) ).

tff(2494,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[2493]) ).

tff(2495,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[2494,2492]) ).

tff(2496,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[720,2495]) ).

tff(2497,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(symmetry,[status(thm)],[2496]) ).

tff(2498,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2499,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),
    inference(unit_resolution,[status(thm)],[2498,28]) ).

tff(2500,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[728,670,667,1428]) ).

tff(2501,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[2500]) ).

tff(2502,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[2501,1422,1419,1266,1106,1393]) ).

tff(2503,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,2502]) ).

tff(2504,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[2503]) ).

tff(2505,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(symmetry,[status(thm)],[1392]) ).

tff(2506,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2507,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(unit_resolution,[status(thm)],[2506,28]) ).

tff(2508,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[776]) ).

tff(2509,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[2508,2507,1264,1263,1356,1355,1354,1324,1353,1158,1149,2505,2504]) ).

tff(2510,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[720,2509]) ).

tff(2511,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[2510]) ).

tff(2512,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[776]) ).

tff(2513,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[2512,1158,1149,2505,2504]) ).

tff(2514,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[720,2513]) ).

tff(2515,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[2514,2511]) ).

tff(2516,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[2515]) ).

tff(2517,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),
    inference(symmetry,[status(thm)],[2516]) ).

tff(2518,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2517]) ).

tff(2519,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2518]) ).

tff(2520,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2521,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[2520,28]) ).

tff(2522,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2521]) ).

tff(2523,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity) = multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),
    inference(symmetry,[status(thm)],[1262]) ).

tff(2524,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1090]) ).

tff(2525,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[2524,1259,2523,1269,1272,1276,1106,2522,2519,2499,2497]) ).

tff(2526,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[2525]) ).

tff(2527,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(transitivity,[status(thm)],[2526,2487,2484,2476,2415,2385,862,2384]) ).

tff(2528,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(monotonicity,[status(thm)],[2527]) ).

tff(2529,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(symmetry,[status(thm)],[2528]) ).

tff(2530,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2357]) ).

tff(2531,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2532,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(unit_resolution,[status(thm)],[2531,28]) ).

tff(2533,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2534,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),
    inference(unit_resolution,[status(thm)],[2533,28]) ).

tff(2535,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2214]) ).

tff(2536,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(transitivity,[status(thm)],[2535,2534,2127,2530,2359,2529]) ).

tff(2537,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(monotonicity,[status(thm)],[2264,2536]) ).

tff(2538,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(symmetry,[status(thm)],[2537]) ).

tff(2539,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2214]) ).

tff(2540,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(transitivity,[status(thm)],[2539,2530,2359,2529]) ).

tff(2541,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(monotonicity,[status(thm)],[2264,2540]) ).

tff(2542,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(transitivity,[status(thm)],[2541,2538]) ).

tff(2543,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(monotonicity,[status(thm)],[2542]) ).

tff(2544,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(symmetry,[status(thm)],[2543]) ).

tff(2545,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2544]) ).

tff(2546,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2547,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(unit_resolution,[status(thm)],[2546,28]) ).

tff(2548,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2547]) ).

tff(2549,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))),
    inference(transitivity,[status(thm)],[728,670,667,2116,874,2115]) ).

tff(2550,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(monotonicity,[status(thm)],[2549]) ).

tff(2551,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[2550,1994,1991,1723,2261]) ).

tff(2552,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,2551]) ).

tff(2553,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[2552]) ).

tff(2554,plain,
    double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2254]) ).

tff(2555,plain,
    double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))) = double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2218]) ).

tff(2556,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2557,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(unit_resolution,[status(thm)],[2556,28]) ).

tff(2558,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[660]) ).

tff(2559,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(transitivity,[status(thm)],[2558,2557,1994,1991,1723,2395,2394]) ).

tff(2560,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(monotonicity,[status(thm)],[1612,2559]) ).

tff(2561,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(transitivity,[status(thm)],[2560,2393,2342,2339,442,2330,2329,2328,2319,2289]) ).

tff(2562,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(monotonicity,[status(thm)],[2561]) ).

tff(2563,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(transitivity,[status(thm)],[2562,2317,2314,2303]) ).

tff(2564,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2563]) ).

tff(2565,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2566,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(unit_resolution,[status(thm)],[2565,28]) ).

tff(2567,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2566]) ).

tff(2568,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(transitivity,[status(thm)],[728,670,667,2385,862,2384]) ).

tff(2569,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(monotonicity,[status(thm)],[1995,2568]) ).

tff(2570,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[2569,2360,2357,442,1827]) ).

tff(2571,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,2570]) ).

tff(2572,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[2571]) ).

tff(2573,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(symmetry,[status(thm)],[1977]) ).

tff(2574,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1954]) ).

tff(2575,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1942]) ).

tff(2576,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2577,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(unit_resolution,[status(thm)],[2576,28]) ).

tff(2578,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[776]) ).

tff(2579,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[2578,2577,2575,2574,1956,2573,2572]) ).

tff(2580,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[720,2579]) ).

tff(2581,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[2580,2567,2564,1983,2555,2554,2256,2553]) ).

tff(2582,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[2581]) ).

tff(2583,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(transitivity,[status(thm)],[2582,2548,2545,2532]) ).

tff(2584,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2583]) ).

tff(2585,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2586,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),
    inference(unit_resolution,[status(thm)],[2585,28]) ).

tff(2587,plain,
    double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2586]) ).

tff(2588,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(c3,a3)) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2589,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(c3,a3)),
    inference(unit_resolution,[status(thm)],[2588,28]) ).

tff(2590,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))) = double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))),
    inference(transitivity,[status(thm)],[2129,2121,566,564]) ).

tff(2591,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(monotonicity,[status(thm)],[2590]) ).

tff(2592,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))),
    inference(transitivity,[status(thm)],[2591,2116,874,2115]) ).

tff(2593,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(monotonicity,[status(thm)],[2134,2592]) ).

tff(2594,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))),
    inference(transitivity,[status(thm)],[2593,2136]) ).

tff(2595,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(monotonicity,[status(thm)],[2594]) ).

tff(2596,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(symmetry,[status(thm)],[2595]) ).

tff(2597,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2596]) ).

tff(2598,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2599,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),
    inference(unit_resolution,[status(thm)],[2598,28]) ).

tff(2600,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2231]) ).

tff(2601,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1927,1920,1917,947,904]) ).

tff(2602,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[2601]) ).

tff(2603,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[2602,2224]) ).

tff(2604,plain,
    double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[800,2603]) ).

tff(2605,plain,
    double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = inverse(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(transitivity,[status(thm)],[2604,2600,2239,1723,2211,2210,2189]) ).

tff(2606,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),inverse(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(monotonicity,[status(thm)],[2605]) ).

tff(2607,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(symmetry,[status(thm)],[2604]) ).

tff(2608,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[2224]) ).

tff(2609,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(transitivity,[status(thm)],[2608,2607]) ).

tff(2610,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(monotonicity,[status(thm)],[2609]) ).

tff(2611,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[2610,2606,2186,48,68,30,21]) ).

tff(2612,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[793,2611]) ).

tff(2613,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(symmetry,[status(thm)],[2612]) ).

tff(2614,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2615,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[2614,28]) ).

tff(2616,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2617,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(identity,identity)) = double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(unit_resolution,[status(thm)],[2616,28]) ).

tff(2618,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[2425,1317,1314,1113]) ).

tff(2619,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[2618]) ).

tff(2620,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))))),
    inference(transitivity,[status(thm)],[2619,2422]) ).

tff(2621,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),
    inference(monotonicity,[status(thm)],[2432,2620]) ).

tff(2622,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))))),
    inference(transitivity,[status(thm)],[2621,2434]) ).

tff(2623,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),
    inference(monotonicity,[status(thm)],[2622]) ).

tff(2624,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),
    inference(symmetry,[status(thm)],[2623]) ).

tff(2625,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2624]) ).

tff(2626,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2627,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(unit_resolution,[status(thm)],[2626,28]) ).

tff(2628,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2627]) ).

tff(2629,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(monotonicity,[status(thm)],[1551]) ).

tff(2630,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = inverse(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),
    inference(transitivity,[status(thm)],[2629,2628,2625,2617,1264,1263,2450,2448]) ).

tff(2631,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),inverse(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))),
    inference(monotonicity,[status(thm)],[1268,2630]) ).

tff(2632,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[2631,2445,48,68,30,21]) ).

tff(2633,plain,
    double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[800,2632]) ).

tff(2634,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(symmetry,[status(thm)],[2633]) ).

tff(2635,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),inverse(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2636,plain,
    identity = double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),inverse(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))),
    inference(unit_resolution,[status(thm)],[2635,17]) ).

tff(2637,plain,
    double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),inverse(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))) = identity,
    inference(symmetry,[status(thm)],[2636]) ).

tff(2638,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))) = double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2639,plain,
    inverse(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))) = double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),identity),
    inference(unit_resolution,[status(thm)],[2638,37]) ).

tff(2640,plain,
    double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),identity) = inverse(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),
    inference(symmetry,[status(thm)],[2639]) ).

tff(2641,plain,
    double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1544,69]) ).

tff(2642,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),identity),
    inference(symmetry,[status(thm)],[2641]) ).

tff(2643,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2644,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(unit_resolution,[status(thm)],[2643,28]) ).

tff(2645,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1289]) ).

tff(2646,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(transitivity,[status(thm)],[2645,2644]) ).

tff(2647,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(monotonicity,[status(thm)],[1540,2646]) ).

tff(2648,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1542,2647]) ).

tff(2649,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(transitivity,[status(thm)],[2648,1544]) ).

tff(2650,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2649]) ).

tff(2651,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2652,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(unit_resolution,[status(thm)],[2651,28]) ).

tff(2653,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2652]) ).

tff(2654,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),
    inference(transitivity,[status(thm)],[1108,1107,1267,1525]) ).

tff(2655,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))),
    inference(monotonicity,[status(thm)],[2654]) ).

tff(2656,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[2655,1520,1517,819,2379,824,827,830,456,459,355]) ).

tff(2657,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,2656]) ).

tff(2658,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(symmetry,[status(thm)],[2657]) ).

tff(2659,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[1383,1375,1372,819,2379,824,827,830,456,459,355]) ).

tff(2660,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[2659]) ).

tff(2661,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[2660,2658]) ).

tff(2662,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1395,2661]) ).

tff(2663,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))))) = inverse(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),
    inference(transitivity,[status(thm)],[2662,2653,2650,2642,2640]) ).

tff(2664,plain,
    double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))) = double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),inverse(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))),
    inference(monotonicity,[status(thm)],[2663]) ).

tff(2665,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))))),
    inference(symmetry,[status(thm)],[2662]) ).

tff(2666,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2650]) ).

tff(2667,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))))),
    inference(transitivity,[status(thm)],[1576,2666,2652,2665]) ).

tff(2668,plain,
    double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),
    inference(monotonicity,[status(thm)],[2667]) ).

tff(2669,plain,
    double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[2668,2664,2637,48,68,30,21]) ).

tff(2670,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),a3)))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2669]) ).

tff(2671,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[2670,2036,502,2634]) ).

tff(2672,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[1531,2671]) ).

tff(2673,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(symmetry,[status(thm)],[2672]) ).

tff(2674,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2669]) ).

tff(2675,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[2674,2634]) ).

tff(2676,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[1531,2675]) ).

tff(2677,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[2676,2673]) ).

tff(2678,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[2677]) ).

tff(2679,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(symmetry,[status(thm)],[2678]) ).

tff(2680,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2679]) ).

tff(2681,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2682,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),
    inference(unit_resolution,[status(thm)],[2681,28]) ).

tff(2683,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2669]) ).

tff(2684,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[2683,2682,502,2634]) ).

tff(2685,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[1531,2684]) ).

tff(2686,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[2685,2673]) ).

tff(2687,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[2686]) ).

tff(2688,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2687]) ).

tff(2689,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2690,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(unit_resolution,[status(thm)],[2689,28]) ).

tff(2691,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2690]) ).

tff(2692,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1766]) ).

tff(2693,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[1760]) ).

tff(2694,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))),
    inference(transitivity,[status(thm)],[2693,2692,1775,1862,396,2278]) ).

tff(2695,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(monotonicity,[status(thm)],[2694]) ).

tff(2696,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(transitivity,[status(thm)],[2695,2289]) ).

tff(2697,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(monotonicity,[status(thm)],[1612,2696]) ).

tff(2698,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(symmetry,[status(thm)],[2697]) ).

tff(2699,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2700,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(unit_resolution,[status(thm)],[2699,28]) ).

tff(2701,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1703]) ).

tff(2702,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[2701,2700,2698]) ).

tff(2703,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[1706,2702]) ).

tff(2704,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[2703,2691,2688,2680,2615,460,457,831,828,825,822,820,2613]) ).

tff(2705,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[2704]) ).

tff(2706,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2705]) ).

tff(2707,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2708,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(unit_resolution,[status(thm)],[2707,28]) ).

tff(2709,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2708]) ).

tff(2710,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[536]) ).

tff(2711,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = b3,
    inference(transitivity,[status(thm)],[2710,2274]) ).

tff(2712,plain,
    double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(c3,b3),
    inference(monotonicity,[status(thm)],[549,2711]) ).

tff(2713,plain,
    double_divide(c3,b3) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(symmetry,[status(thm)],[2712]) ).

tff(2714,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(b3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[2713]) ).

tff(2715,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))))),
    inference(transitivity,[status(thm)],[2714,2709,2706,2599,1884]) ).

tff(2716,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),
    inference(monotonicity,[status(thm)],[2715]) ).

tff(2717,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))),
    inference(transitivity,[status(thm)],[2716,2147,2144,2597,2589,758,837]) ).

tff(2718,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3)))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(monotonicity,[status(thm)],[793,2717]) ).

tff(2719,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3)))),
    inference(symmetry,[status(thm)],[2718]) ).

tff(2720,plain,
    double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(transitivity,[status(thm)],[1720,1717,1674,1672]) ).

tff(2721,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(monotonicity,[status(thm)],[1995,2720]) ).

tff(2722,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3)))),
    inference(transitivity,[status(thm)],[2721,1648,1645,1030,1033,2719]) ).

tff(2723,plain,
    double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),
    inference(monotonicity,[status(thm)],[2722]) ).

tff(2724,plain,
    double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(transitivity,[status(thm)],[2723,2587,2584,2530,2359,2529]) ).

tff(2725,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(monotonicity,[status(thm)],[2264,2724]) ).

tff(2726,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(symmetry,[status(thm)],[2725]) ).

tff(2727,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2728,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(unit_resolution,[status(thm)],[2727,28]) ).

tff(2729,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2730,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[2729,28]) ).

tff(2731,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1003]) ).

tff(2732,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))),
    inference(transitivity,[status(thm)],[2731,2627,1557]) ).

tff(2733,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(monotonicity,[status(thm)],[793,2732]) ).

tff(2734,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))),
    inference(symmetry,[status(thm)],[2733]) ).

tff(2735,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2625]) ).

tff(2736,plain,
    double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2617]) ).

tff(2737,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[1003]) ).

tff(2738,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))),
    inference(transitivity,[status(thm)],[2737,1329,1325,1322,1320,1318,1193,1096,2736,2735,2627,1557]) ).

tff(2739,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(monotonicity,[status(thm)],[793,2738]) ).

tff(2740,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))),
    inference(transitivity,[status(thm)],[2739,2734]) ).

tff(2741,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(monotonicity,[status(thm)],[2740]) ).

tff(2742,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(symmetry,[status(thm)],[2741]) ).

tff(2743,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2742]) ).

tff(2744,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2745,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),
    inference(unit_resolution,[status(thm)],[2744,28]) ).

tff(2746,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2745]) ).

tff(2747,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[1468,1465,735,733]) ).

tff(2748,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[2747]) ).

tff(2749,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))))))),
    inference(transitivity,[status(thm)],[2748,684,681,630,2469,2466,2436,2434]) ).

tff(2750,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))))))),
    inference(monotonicity,[status(thm)],[2749]) ).

tff(2751,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(transitivity,[status(thm)],[2750,2746,2743,2730,1107,1277,1273,1270,1262,1260,1090]) ).

tff(2752,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))))) = double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(monotonicity,[status(thm)],[712,2751]) ).

tff(2753,plain,
    double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))))),
    inference(symmetry,[status(thm)],[2752]) ).

tff(2754,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2755,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(unit_resolution,[status(thm)],[2754,28]) ).

tff(2756,plain,
    ( ~ ! [A: $i] : ( identity = double_divide(A,inverse(A)) )
    | ( identity = double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),inverse(double_divide(double_divide(c3,a3),double_divide(c3,a3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2757,plain,
    identity = double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),inverse(double_divide(double_divide(c3,a3),double_divide(c3,a3)))),
    inference(unit_resolution,[status(thm)],[2756,17]) ).

tff(2758,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),inverse(double_divide(double_divide(c3,a3),double_divide(c3,a3)))) = identity,
    inference(symmetry,[status(thm)],[2757]) ).

tff(2759,plain,
    ( ~ ! [A: $i] : ( inverse(A) = double_divide(A,identity) )
    | ( inverse(double_divide(double_divide(c3,a3),double_divide(c3,a3))) = double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2760,plain,
    inverse(double_divide(double_divide(c3,a3),double_divide(c3,a3))) = double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),identity),
    inference(unit_resolution,[status(thm)],[2759,37]) ).

tff(2761,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),identity) = inverse(double_divide(double_divide(c3,a3),double_divide(c3,a3))),
    inference(symmetry,[status(thm)],[2760]) ).

tff(2762,plain,
    identity = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[632,1473]) ).

tff(2763,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),identity) = double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[2762]) ).

tff(2764,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),identity),
    inference(symmetry,[status(thm)],[2763]) ).

tff(2765,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[715,708,705]) ).

tff(2766,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[2765]) ).

tff(2767,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[2766,757]) ).

tff(2768,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[720,2767]) ).

tff(2769,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))) = inverse(double_divide(double_divide(c3,a3),double_divide(c3,a3))),
    inference(transitivity,[status(thm)],[2768,752,749,1464,1467,2764,2761]) ).

tff(2770,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),inverse(double_divide(double_divide(c3,a3),double_divide(c3,a3)))),
    inference(monotonicity,[status(thm)],[2769]) ).

tff(2771,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[2768]) ).

tff(2772,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[749]) ).

tff(2773,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[1468,1465,2772,751,2771]) ).

tff(2774,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[2773]) ).

tff(2775,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[2774,2770,2758,48,68,30,21]) ).

tff(2776,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2775]) ).

tff(2777,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))))),
    inference(transitivity,[status(thm)],[2776,2755,2753]) ).

tff(2778,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[735]) ).

tff(2779,plain,
    double_divide(identity,double_divide(double_divide(c3,a3),double_divide(c3,a3))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[42,727]) ).

tff(2780,plain,
    double_divide(identity,double_divide(double_divide(c3,a3),double_divide(c3,a3))) = double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),
    inference(transitivity,[status(thm)],[2779,2778,1464,1467]) ).

tff(2781,plain,
    double_divide(double_divide(identity,double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),
    inference(monotonicity,[status(thm)],[2780,2777]) ).

tff(2782,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))) = double_divide(double_divide(identity,double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))))),
    inference(symmetry,[status(thm)],[2781]) ).

tff(2783,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2784,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(unit_resolution,[status(thm)],[2783,28]) ).

tff(2785,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2775]) ).

tff(2786,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))))),
    inference(transitivity,[status(thm)],[2785,2784,2753]) ).

tff(2787,plain,
    double_divide(double_divide(identity,double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),
    inference(monotonicity,[status(thm)],[2780,2786]) ).

tff(2788,plain,
    double_divide(double_divide(identity,double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))))),
    inference(transitivity,[status(thm)],[2787,2782]) ).

tff(2789,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),
    inference(monotonicity,[status(thm)],[2788]) ).

tff(2790,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),
    inference(symmetry,[status(thm)],[2789]) ).

tff(2791,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2790]) ).

tff(2792,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2791]) ).

tff(2793,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2794,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),
    inference(unit_resolution,[status(thm)],[2793,28]) ).

tff(2795,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2794]) ).

tff(2796,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2797,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),
    inference(unit_resolution,[status(thm)],[2796,28]) ).

tff(2798,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[660]) ).

tff(2799,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))),
    inference(transitivity,[status(thm)],[2798,2784,1254]) ).

tff(2800,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(monotonicity,[status(thm)],[1612,2799]) ).

tff(2801,plain,
    double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(transitivity,[status(thm)],[2800,1250,1247,1277,1273,1270,1262,1260,1090]) ).

tff(2802,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),
    inference(monotonicity,[status(thm)],[671,2801]) ).

tff(2803,plain,
    double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(symmetry,[status(thm)],[2802]) ).

tff(2804,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(identity,double_divide(c3,a3))),double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2803,425]) ).

tff(2805,plain,
    double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[2804,2797,2795,2792,2728,2726]) ).

tff(2806,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[336,2805]) ).

tff(2807,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(symmetry,[status(thm)],[2806]) ).

tff(2808,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2809,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(unit_resolution,[status(thm)],[2808,28]) ).

tff(2810,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2811,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(unit_resolution,[status(thm)],[2810,28]) ).

tff(2812,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(2813,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[2812,2811,1994,1991,1723,2261]) ).

tff(2814,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,2813]) ).

tff(2815,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),
    inference(transitivity,[status(thm)],[2814,2257,2254,2218]) ).

tff(2816,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(monotonicity,[status(thm)],[43,2815]) ).

tff(2817,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(transitivity,[status(thm)],[2816,2195,1990,1993]) ).

tff(2818,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2817]) ).

tff(2819,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2820,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(unit_resolution,[status(thm)],[2819,28]) ).

tff(2821,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2820]) ).

tff(2822,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)))),
    inference(transitivity,[status(thm)],[1667,1660,1657,819,2379,824,827,830,456,459,530,529]) ).

tff(2823,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity))))),
    inference(monotonicity,[status(thm)],[534,2822]) ).

tff(2824,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[2823,528,76,48,68,30,21]) ).

tff(2825,plain,
    double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(transitivity,[status(thm)],[969,968,965,947,955]) ).

tff(2826,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2825,2824]) ).

tff(2827,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(symmetry,[status(thm)],[2826]) ).

tff(2828,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity)) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[2190,2186,48,68,30,21]) ).

tff(2829,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[955,2828]) ).

tff(2830,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(transitivity,[status(thm)],[2829,2827]) ).

tff(2831,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(monotonicity,[status(thm)],[2830]) ).

tff(2832,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity)))),
    inference(symmetry,[status(thm)],[2831]) ).

tff(2833,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(identity,identity)) = double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2834,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(identity,identity)) = double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),
    inference(unit_resolution,[status(thm)],[2833,28]) ).

tff(2835,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[776]) ).

tff(2836,plain,
    double_divide(double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[2835,2834,502,2053]) ).

tff(2837,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[720,2836]) ).

tff(2838,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[2837,2059]) ).

tff(2839,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[2838]) ).

tff(2840,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2839]) ).

tff(2841,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2842,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),
    inference(unit_resolution,[status(thm)],[2841,28]) ).

tff(2843,plain,
    double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2842]) ).

tff(2844,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity)))),
    inference(transitivity,[status(thm)],[1383,1375,1372,819,2379,824,827,830,456,459,530,529]) ).

tff(2845,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),identity))))),
    inference(monotonicity,[status(thm)],[534,2844]) ).

tff(2846,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[2845,528,76,48,68,30,21,1113]) ).

tff(2847,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1395,2846]) ).

tff(2848,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))))),
    inference(symmetry,[status(thm)],[2847]) ).

tff(2849,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))))),
    inference(transitivity,[status(thm)],[2524,1259,2523,1269,1272,1276,1267,2848]) ).

tff(2850,plain,
    double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))))))),
    inference(monotonicity,[status(thm)],[2849]) ).

tff(2851,plain,
    double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity)))),
    inference(transitivity,[status(thm)],[2850,2843,2840,2068,2832]) ).

tff(2852,plain,
    double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity),
    inference(transitivity,[status(thm)],[2211,2210]) ).

tff(2853,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity))))),
    inference(monotonicity,[status(thm)],[2852,2851]) ).

tff(2854,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(symmetry,[status(thm)],[2853]) ).

tff(2855,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[949]) ).

tff(2856,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(transitivity,[status(thm)],[2855,2827]) ).

tff(2857,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(monotonicity,[status(thm)],[1995,2856]) ).

tff(2858,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity)))),
    inference(transitivity,[status(thm)],[2857,2832]) ).

tff(2859,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity))))),
    inference(monotonicity,[status(thm)],[2212,2858]) ).

tff(2860,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),
    inference(transitivity,[status(thm)],[2859,2854]) ).

tff(2861,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(monotonicity,[status(thm)],[2264,2860]) ).

tff(2862,plain,
    double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(symmetry,[status(thm)],[2861]) ).

tff(2863,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2864,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(unit_resolution,[status(thm)],[2863,28]) ).

tff(2865,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2453]) ).

tff(2866,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(transitivity,[status(thm)],[2865,1537]) ).

tff(2867,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(monotonicity,[status(thm)],[1395,2866]) ).

tff(2868,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(symmetry,[status(thm)],[2867]) ).

tff(2869,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[460,457,831,828,825,822,820,348]) ).

tff(2870,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1542,2869]) ).

tff(2871,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),
    inference(transitivity,[status(thm)],[2870,1581,1580,1579,1537]) ).

tff(2872,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(monotonicity,[status(thm)],[2871]) ).

tff(2873,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[2872,2868]) ).

tff(2874,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1395,2873]) ).

tff(2875,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(symmetry,[status(thm)],[2874]) ).

tff(2876,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2877,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(unit_resolution,[status(thm)],[2876,28]) ).

tff(2878,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[536]) ).

tff(2879,plain,
    double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[2878,1583,1581,1580,2877,2875]) ).

tff(2880,plain,
    double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[800,2879]) ).

tff(2881,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(symmetry,[status(thm)],[2880]) ).

tff(2882,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[536]) ).

tff(2883,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[2882,1578,2877,2875]) ).

tff(2884,plain,
    double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[800,2883]) ).

tff(2885,plain,
    double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[2884,2881]) ).

tff(2886,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[2885]) ).

tff(2887,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(symmetry,[status(thm)],[2886]) ).

tff(2888,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2887]) ).

tff(2889,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2888]) ).

tff(2890,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2891,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[2890,28]) ).

tff(2892,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2891]) ).

tff(2893,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1535]) ).

tff(2894,plain,
    double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))),
    inference(transitivity,[status(thm)],[2736,2735,2627,1557]) ).

tff(2895,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(monotonicity,[status(thm)],[2894]) ).

tff(2896,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[2895,2893,1574,1559,2892,2889,2864,2862]) ).

tff(2897,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[2896]) ).

tff(2898,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = b3,
    inference(transitivity,[status(thm)],[2897,2821,2818,1983,2301,2298,2274]) ).

tff(2899,plain,
    double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(c3,b3),
    inference(monotonicity,[status(thm)],[549,2898]) ).

tff(2900,plain,
    double_divide(c3,b3) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(symmetry,[status(thm)],[2899]) ).

tff(2901,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(identity,identity)) = double_divide(c3,b3) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2902,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(identity,identity)) = double_divide(c3,b3),
    inference(unit_resolution,[status(thm)],[2901,28]) ).

tff(2903,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2453]) ).

tff(2904,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[2903,2902,2900]) ).

tff(2905,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1395,2904]) ).

tff(2906,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(symmetry,[status(thm)],[2905]) ).

tff(2907,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(c3,b3) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2908,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(c3,b3),
    inference(unit_resolution,[status(thm)],[2907,28]) ).

tff(2909,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2453]) ).

tff(2910,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[2909,2908,2900]) ).

tff(2911,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1395,2910]) ).

tff(2912,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[2911,2906]) ).

tff(2913,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[2912]) ).

tff(2914,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2913]) ).

tff(2915,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2914]) ).

tff(2916,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2917,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),
    inference(unit_resolution,[status(thm)],[2916,28]) ).

tff(2918,plain,
    double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2917]) ).

tff(2919,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2920,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),
    inference(unit_resolution,[status(thm)],[2919,28]) ).

tff(2921,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[425]) ).

tff(2922,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[2921,2920,2918,2915,2809,2807]) ).

tff(2923,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[336,2922]) ).

tff(2924,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(symmetry,[status(thm)],[2923]) ).

tff(2925,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(c3,b3))))),double_divide(identity,identity)) = double_divide(c3,b3) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2926,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(c3,b3))))),double_divide(identity,identity)) = double_divide(c3,b3),
    inference(unit_resolution,[status(thm)],[2925,28]) ).

tff(2927,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2928,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(unit_resolution,[status(thm)],[2927,28]) ).

tff(2929,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2930,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(unit_resolution,[status(thm)],[2929,28]) ).

tff(2931,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2932,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))),
    inference(unit_resolution,[status(thm)],[2931,28]) ).

tff(2933,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[776]) ).

tff(2934,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))),
    inference(transitivity,[status(thm)],[2933,2932]) ).

tff(2935,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),
    inference(monotonicity,[status(thm)],[720,2934]) ).

tff(2936,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[2935]) ).

tff(2937,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2938,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),
    inference(unit_resolution,[status(thm)],[2937,28]) ).

tff(2939,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[776]) ).

tff(2940,plain,
    double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[2939,2938,2936]) ).

tff(2941,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[720,2940]) ).

tff(2942,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))),
    inference(symmetry,[status(thm)],[2941]) ).

tff(2943,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[776]) ).

tff(2944,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[2943,1085,2936]) ).

tff(2945,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[720,2944]) ).

tff(2946,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[2945,2942]) ).

tff(2947,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[2946]) ).

tff(2948,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),
    inference(symmetry,[status(thm)],[2947]) ).

tff(2949,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2948]) ).

tff(2950,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2951,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),
    inference(unit_resolution,[status(thm)],[2950,28]) ).

tff(2952,plain,
    double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2951]) ).

tff(2953,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),
    inference(transitivity,[status(thm)],[789,788,554,787,627,1221]) ).

tff(2954,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),identity),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),
    inference(monotonicity,[status(thm)],[2953]) ).

tff(2955,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))),
    inference(transitivity,[status(thm)],[2954,1196,1193,1096,2736,2735,2627,1557]) ).

tff(2956,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(monotonicity,[status(thm)],[793,2955]) ).

tff(2957,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3))),
    inference(symmetry,[status(thm)],[2956]) ).

tff(2958,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3))),
    inference(transitivity,[status(thm)],[1576,1575,1535,2957]) ).

tff(2959,plain,
    double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),
    inference(monotonicity,[status(thm)],[2958]) ).

tff(2960,plain,
    double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3))))))),
    inference(transitivity,[status(thm)],[2959,2952,2949,2930,1334]) ).

tff(2961,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))),
    inference(monotonicity,[status(thm)],[2960]) ).

tff(2962,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[2961,1317,1314]) ).

tff(2963,plain,
    double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2106,2962]) ).

tff(2964,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)) = double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(symmetry,[status(thm)],[2963]) ).

tff(2965,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(identity,identity)) = a3 ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2966,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(identity,identity)) = a3,
    inference(unit_resolution,[status(thm)],[2965,28]) ).

tff(2967,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2669]) ).

tff(2968,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[2967,2966,1017,2964]) ).

tff(2969,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[1531,2968]) ).

tff(2970,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(symmetry,[status(thm)],[2969]) ).

tff(2971,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2669]) ).

tff(2972,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))) = double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[2971,2964]) ).

tff(2973,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[1531,2972]) ).

tff(2974,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))),
    inference(transitivity,[status(thm)],[2973,2970]) ).

tff(2975,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(monotonicity,[status(thm)],[2974]) ).

tff(2976,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(symmetry,[status(thm)],[2975]) ).

tff(2977,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2976]) ).

tff(2978,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2979,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),
    inference(unit_resolution,[status(thm)],[2978,28]) ).

tff(2980,plain,
    double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))),double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2979]) ).

tff(2981,plain,
    double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[157]) ).

tff(2982,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3)) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),
    inference(transitivity,[status(thm)],[2714,2709,2706,2599]) ).

tff(2983,plain,
    double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))) = double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(monotonicity,[status(thm)],[2982]) ).

tff(2984,plain,
    double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))),
    inference(transitivity,[status(thm)],[2983,2981,164,197,200,218,1862,396,2278]) ).

tff(2985,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3)))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),
    inference(monotonicity,[status(thm)],[793,2984]) ).

tff(2986,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(c3,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3)))),
    inference(symmetry,[status(thm)],[2985]) ).

tff(2987,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2988,plain,
    double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(unit_resolution,[status(thm)],[2987,28]) ).

tff(2989,plain,
    double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[776]) ).

tff(2990,plain,
    double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[2989,2988,2575,2574,1956,2573,2572]) ).

tff(2991,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[720,2990]) ).

tff(2992,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3))))),
    inference(transitivity,[status(thm)],[2991,2567,2564,1983,2555,2554,2256,2553]) ).

tff(2993,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(identity,double_divide(c3,a3)))))),
    inference(monotonicity,[status(thm)],[2992]) ).

tff(2994,plain,
    double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(transitivity,[status(thm)],[2993,2548,2545,2532]) ).

tff(2995,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2994]) ).

tff(2996,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(2997,plain,
    double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),
    inference(unit_resolution,[status(thm)],[2996,28]) ).

tff(2998,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))) = double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(identity,double_divide(c3,a3)))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2997]) ).

tff(2999,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2102]) ).

tff(3000,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))))),
    inference(transitivity,[status(thm)],[2999,2240,2231,2229]) ).

tff(3001,plain,
    double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))))) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),
    inference(monotonicity,[status(thm)],[2106,3000]) ).

tff(3002,plain,
    double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))))) = double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))))),
    inference(transitivity,[status(thm)],[3001,2246]) ).

tff(3003,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),
    inference(monotonicity,[status(thm)],[3002]) ).

tff(3004,plain,
    double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[3003]) ).

tff(3005,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(3006,plain,
    double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),
    inference(unit_resolution,[status(thm)],[3005,28]) ).

tff(3007,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))) = double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,a3),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[3006]) ).

tff(3008,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2144]) ).

tff(3009,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2597]) ).

tff(3010,plain,
    double_divide(identity,double_divide(c3,a3)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[2589]) ).

tff(3011,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))))))),
    inference(transitivity,[status(thm)],[2095,991,988,980,839,3010,3009,3008,2146,1981]) ).

tff(3012,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))))))),
    inference(monotonicity,[status(thm)],[3011]) ).

tff(3013,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))) = b3,
    inference(transitivity,[status(thm)],[3012,3007,3004,2254,2218,2301,2298,2274]) ).

tff(3014,plain,
    double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))))) = double_divide(c3,b3),
    inference(monotonicity,[status(thm)],[549,3013]) ).

tff(3015,plain,
    double_divide(c3,b3) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))))),
    inference(symmetry,[status(thm)],[3014]) ).

tff(3016,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(c3,b3)) = double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))))))),
    inference(monotonicity,[status(thm)],[3015]) ).

tff(3017,plain,
    double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(c3,b3)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3)))),
    inference(transitivity,[status(thm)],[3016,2998,2995,442,2330,2329,2328,2319,2986]) ).

tff(3018,plain,
    double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(c3,b3))) = double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(a3,double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),
    inference(monotonicity,[status(thm)],[3017]) ).

tff(3019,plain,
    double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(c3,b3))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3))),
    inference(transitivity,[status(thm)],[3018,2980,2977,2928,1064]) ).

tff(3020,plain,
    double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(c3,b3)))) = double_divide(a3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),a3)))),
    inference(monotonicity,[status(thm)],[2087,3019]) ).

tff(3021,plain,
    double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(c3,b3)))) = identity,
    inference(transitivity,[status(thm)],[3020,1059,1056,20,101,67,49]) ).

tff(3022,plain,
    double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(c3,b3))))) = double_divide(double_divide(c3,b3),identity),
    inference(monotonicity,[status(thm)],[3021]) ).

tff(3023,plain,
    double_divide(double_divide(c3,b3),identity) = double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(c3,b3))))),
    inference(symmetry,[status(thm)],[3022]) ).

tff(3024,plain,
    double_divide(double_divide(double_divide(c3,b3),identity),identity) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))))))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(a3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))))))),double_divide(c3,b3))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[3023,69]) ).

tff(3025,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = identity,
    inference(transitivity,[status(thm)],[2452,2445]) ).

tff(3026,plain,
    double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(c3,b3),identity),identity),
    inference(monotonicity,[status(thm)],[3025]) ).

tff(3027,plain,
    double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[3026,3024,2926,2900]) ).

tff(3028,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1395,3027]) ).

tff(3029,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[3028,2906]) ).

tff(3030,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[3029]) ).

tff(3031,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[3030]) ).

tff(3032,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(3033,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),identity),
    inference(unit_resolution,[status(thm)],[3032,28]) ).

tff(3034,plain,
    double_divide(double_divide(c3,b3),identity) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[3033]) ).

tff(3035,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))) = identity,
    inference(transitivity,[status(thm)],[424,416]) ).

tff(3036,plain,
    double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(c3,b3),identity),
    inference(monotonicity,[status(thm)],[3035]) ).

tff(3037,plain,
    double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[3036,3034,3031,2915,2809,2807]) ).

tff(3038,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[336,3037]) ).

tff(3039,plain,
    double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[3038,2924]) ).

tff(3040,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[3039]) ).

tff(3041,plain,
    double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(symmetry,[status(thm)],[3040]) ).

tff(3042,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[3041]) ).

tff(3043,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(3044,plain,
    double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[3043,28]) ).

tff(3045,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[3044]) ).

tff(3046,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(3047,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(unit_resolution,[status(thm)],[3046,28]) ).

tff(3048,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(3049,plain,
    double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[3048,3047,1994,1991,1723,2261]) ).

tff(3050,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,3049]) ).

tff(3051,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),
    inference(transitivity,[status(thm)],[3050,2257,2254,2218]) ).

tff(3052,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),
    inference(monotonicity,[status(thm)],[43,3051]) ).

tff(3053,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(transitivity,[status(thm)],[3052,2195,1990,1993]) ).

tff(3054,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[3053]) ).

tff(3055,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(3056,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),
    inference(unit_resolution,[status(thm)],[3055,28]) ).

tff(3057,plain,
    double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[3056]) ).

tff(3058,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3)) = double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity)))),
    inference(transitivity,[status(thm)],[2714,2709,2706,2599,2208,2207]) ).

tff(3059,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))) = double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),identity))))),
    inference(monotonicity,[status(thm)],[2212,3058]) ).

tff(3060,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))) = double_divide(identity,identity),
    inference(transitivity,[status(thm)],[3059,2206,2177,48,68,30,21]) ).

tff(3061,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3)))) = double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[793,3060]) ).

tff(3062,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,identity)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3)))),
    inference(symmetry,[status(thm)],[3061]) ).

tff(3063,plain,
    double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3)))),
    inference(transitivity,[status(thm)],[796,3062]) ).

tff(3064,plain,
    double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(c3,b3),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(c3,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(c3,b3))))),
    inference(monotonicity,[status(thm)],[3063]) ).

tff(3065,plain,
    double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = b3,
    inference(transitivity,[status(thm)],[3064,3057,3054,1983,2301,2298,2274]) ).

tff(3066,plain,
    double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(c3,b3),
    inference(monotonicity,[status(thm)],[549,3065]) ).

tff(3067,plain,
    double_divide(c3,b3) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[3066]) ).

tff(3068,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[102]) ).

tff(3069,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[3068,2902,3067]) ).

tff(3070,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,3069]) ).

tff(3071,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(symmetry,[status(thm)],[3070]) ).

tff(3072,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(3073,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(unit_resolution,[status(thm)],[3072,28]) ).

tff(3074,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(c3,b3) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(3075,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(c3,b3),
    inference(unit_resolution,[status(thm)],[3074,28]) ).

tff(3076,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2453]) ).

tff(3077,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[3076,3075,2900]) ).

tff(3078,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1395,3077]) ).

tff(3079,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[3078,2906]) ).

tff(3080,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[3079]) ).

tff(3081,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[3080]) ).

tff(3082,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(c3,b3),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[3081]) ).

tff(3083,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(c3,b3) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(3084,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)) = double_divide(c3,b3),
    inference(unit_resolution,[status(thm)],[3083,28]) ).

tff(3085,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[2453]) ).

tff(3086,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[3085,3084,2900]) ).

tff(3087,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[1395,3086]) ).

tff(3088,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),
    inference(transitivity,[status(thm)],[3087,2906]) ).

tff(3089,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(monotonicity,[status(thm)],[3088]) ).

tff(3090,plain,
    double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),
    inference(symmetry,[status(thm)],[3089]) ).

tff(3091,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[3090]) ).

tff(3092,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[3091]) ).

tff(3093,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(3094,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),
    inference(unit_resolution,[status(thm)],[3093,28]) ).

tff(3095,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[3094]) ).

tff(3096,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[3095,3092,3082,3073,3071]) ).

tff(3097,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[3096]) ).

tff(3098,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))))) = double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))),
    inference(transitivity,[status(thm)],[3097,3045,3042,2413,2411]) ).

tff(3099,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(monotonicity,[status(thm)],[3098]) ).

tff(3100,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))))) = double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),
    inference(transitivity,[status(thm)],[3099,2272,2269,1009,1034,1031,809,1023]) ).

tff(3101,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))))))) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3))))),double_divide(a3,double_divide(double_divide(c3,double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),c3)))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),
    inference(monotonicity,[status(thm)],[107,3100]) ).

tff(3102,plain,
    double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))))))))) = a3,
    inference(transitivity,[status(thm)],[3101,1045,1042,71]) ).

tff(3103,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
    | ( multiply(b3,c3) = double_divide(double_divide(c3,b3),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(3104,plain,
    multiply(b3,c3) = double_divide(double_divide(c3,b3),identity),
    inference(unit_resolution,[status(thm)],[3103,7]) ).

tff(3105,plain,
    double_divide(double_divide(c3,b3),identity) = multiply(b3,c3),
    inference(symmetry,[status(thm)],[3104]) ).

tff(3106,plain,
    double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(c3,a3),double_divide(c3,a3)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(c3,a3),double_divide(double_divide(c3,a3),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))),double_divide(double_divide(c3,a3),double_divide(c3,a3)))))))))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),double_divide(double_divide(identity,double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),double_divide(double_divide(double_divide(c3,b3),identity),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[3031]) ).

tff(3107,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))) = multiply(b3,c3),
    inference(transitivity,[status(thm)],[3095,3092,3106,3033,3105]) ).

tff(3108,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))))))) = double_divide(multiply(b3,c3),a3),
    inference(monotonicity,[status(thm)],[3107,3102]) ).

tff(3109,plain,
    double_divide(multiply(b3,c3),a3) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))))))),
    inference(symmetry,[status(thm)],[3108]) ).

tff(3110,plain,
    double_divide(double_divide(multiply(b3,c3),a3),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[3109,69]) ).

tff(3111,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))))))),double_divide(identity,identity)) = double_divide(double_divide(multiply(b3,c3),a3),identity),
    inference(symmetry,[status(thm)],[3110]) ).

tff(3112,plain,
    ( ~ ! [B: $i,A: $i,C: $i] : ( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C )
    | ( double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(3113,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),
    inference(unit_resolution,[status(thm)],[3112,28]) ).

tff(3114,plain,
    double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))) = double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(identity,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,b3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),double_divide(double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(identity,double_divide(c3,a3)),double_divide(double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))),double_divide(double_divide(c3,a3),double_divide(double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))),double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3)))))))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))))))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[3113]) ).

tff(3115,plain,
    double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))))),
    inference(transitivity,[status(thm)],[43,243,338]) ).

tff(3116,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),
    inference(monotonicity,[status(thm)],[3115]) ).

tff(3117,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity)),double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(double_divide(identity,double_divide(a3,double_divide(double_divide(identity,c3),double_divide(double_divide(double_divide(b3,a3),identity),double_divide(c3,a3))))),identity),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[3116,69]) ).

tff(3118,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
    | ( multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(3119,plain,
    multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity),
    inference(unit_resolution,[status(thm)],[3118,7]) ).

tff(3120,plain,
    multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(c3,double_divide(double_divide(b3,a3),identity)))),
    inference(monotonicity,[status(thm)],[1874]) ).

tff(3121,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
    | ( multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(3122,plain,
    multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity),
    inference(unit_resolution,[status(thm)],[3121,7]) ).

tff(3123,plain,
    double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity) = multiply(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))))))),
    inference(symmetry,[status(thm)],[3122]) ).

tff(3124,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(monotonicity,[status(thm)],[94]) ).

tff(3125,plain,
    double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),
    inference(symmetry,[status(thm)],[3124]) ).

tff(3126,plain,
    double_divide(c3,multiply(a3,b3)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(identity,identity)),
    inference(symmetry,[status(thm)],[1820]) ).

tff(3127,plain,
    double_divide(c3,multiply(a3,b3)) = double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),
    inference(transitivity,[status(thm)],[3126,3125]) ).

tff(3128,plain,
    double_divide(double_divide(c3,multiply(a3,b3)),identity) = double_divide(double_divide(double_divide(double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))),double_divide(double_divide(identity,double_divide(c3,multiply(a3,b3))),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(c3,multiply(a3,b3)),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3))))))),double_divide(double_divide(b3,a3),inverse(double_divide(b3,a3)))),identity),
    inference(monotonicity,[status(thm)],[3127]) ).

tff(3129,plain,
    ( ~ ! [B: $i,A: $i] : ( multiply(A,B) = double_divide(double_divide(B,A),identity) )
    | ( multiply(multiply(a3,b3),c3) = double_divide(double_divide(c3,multiply(a3,b3)),identity) ) ),
    inference(quant_inst,[status(thm)],]) ).

tff(3130,plain,
    multiply(multiply(a3,b3),c3) = double_divide(double_divide(c3,multiply(a3,b3)),identity),
    inference(unit_resolution,[status(thm)],[3129,7]) ).

tff(3131,plain,
    multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
    inference(transitivity,[status(thm)],[3130,3128,3123,3120,3119,3117,442,3114,3111,10]) ).

tff(3132,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(3133,axiom,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).

tff(3134,plain,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    inference(modus_ponens,[status(thm)],[3133,3132]) ).

tff(3135,plain,
    $false,
    inference(unit_resolution,[status(thm)],[3134,3131]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP583-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Aug 31 17:46:03 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34  Usage: tptp [options] [-file:]file
% 0.13/0.34    -h, -?       prints this message.
% 0.13/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.13/0.34    -m, -model   generate model.
% 0.13/0.34    -p, -proof   generate proof.
% 0.13/0.34    -c, -core    generate unsat core of named formulas.
% 0.13/0.34    -st, -statistics display statistics.
% 0.13/0.34    -t:timeout   set timeout (in second).
% 0.13/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.13/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34    -<param>:<value> configuration parameter and value.
% 0.13/0.34    -o:<output-file> file to place output in.
% 7.58/5.19  % SZS status Unsatisfiable
% 7.58/5.19  % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------